PorismaSource review

Your source-to-article checklist

Source review · Vectors

All source-review topics · Coverage and provenance · Student practice

Every question has a place in the ledger. That does not prove every item is accurate or complete. Use these links to compare the native question, subparts, working, teaching notes, tables and diagrams with your private originals.

“Source comparison recorded” means a visual source-comparison pass is documented. “Mapped” or “generated” describes an ingestion step. Mathematical review, browser interaction tests and settled screenshot review are separate checks.

Find a question, topic or source page

23 question records

Optional ticks record your own inspection in this browser only. They do not change the conversion or mathematical-review claims.

11 · Vectors

Edition metadata →

11-01 · A perpendicular foot organizes four shapesQuestion pp.1 / Solution pp.1, 2

Question and explanations → · Complete native source article →

[modified 2017/DHS/Promo/6]. Printed/task labels inventoried: collinearity, i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.1
11 vectors sol.pdf · p.2
11 vectors.pdf · p.1
11 vectors.pdf · p.11

11-02 · An extended segment and coefficient comparisonQuestion pp.1 / Solution pp.3

Question and explanations → · Complete native source article →

[2018/EJC/Prelim/I/5]. Printed/task labels inventoried: i, ii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

$\lambda>0$ .

Exact private source page references

11 vectors sol.pdf · p.3
11 vectors.pdf · p.1
11 vectors.pdf · p.11

11-03 · Skew lines and a perpendicular footQuestion pp.1 / Solution pp.4

Question and explanations → · Complete native source article →

[modified 2009/NYJC/Prelim/I/3]. Printed/task labels inventoried: i, ii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.4
11 vectors.pdf · p.1
11 vectors.pdf · p.11

11-04 · Projection followed by line reflectionQuestion pp.1 / Solution pp.5, 6

Question and explanations → · Complete native source article →

[2010/ACJC/Prelim/I/9]. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.5
11 vectors sol.pdf · p.6
11 vectors.pdf · p.1
11 vectors.pdf · p.11

11-05 · Equal radii make a midpoint perpendicularQuestion pp.1 / Solution pp.6, 7

Question and explanations → · Complete native source article →

[2010/NJC/Prelim/I/3]. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

iii

$A\ne B$ ; for a genuine rhombus the sides must also be nonparallel.

Exact private source page references

11 vectors sol.pdf · p.6
11 vectors sol.pdf · p.7
11 vectors.pdf · p.1
11 vectors.pdf · p.11

11-06 · Area identities and a cross-product degeneracyQuestion pp.2 / Solution pp.7

Question and explanations → · Complete native source article →

[2018/DHS/Prelim/II/1]. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed with source qualification; see warning and topic review evidence. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Printed source relation needs a qualification for the valid case 2b+3d=0; original answer is preserved in the source panel.

Essential answer conditions and source qualifications

iii

The printed $a=k(2b+3d)$ omits the valid case $2b+3d=0$ .

Exact private source page references

11 vectors sol.pdf · p.7
11 vectors.pdf · p.2
11 vectors.pdf · p.11

11-07 · A line that meets the x-axisQuestion pp.2 / Solution pp.8

Question and explanations → · Complete native source article →

[modified 2008/NYJC/Promo/5]. Printed/task labels inventoried: parameter, distance.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.8
11 vectors.pdf · p.2
11 vectors.pdf · p.11

11-08 · Orthogonality and an angle maximisationQuestion pp.2 / Solution pp.9, 10

Question and explanations → · Complete native source article →

[2017/ACJC/Prelim/I/9]. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed with source qualification; see warning and topic review evidence. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

The printed motion description names line segments, but the prescribed coordinate paths are circular. This qualification does not alter the computed angle.

Essential answer conditions and source qualifications

The explicit coordinate paths are circular; the printed fixed-line motion description is inconsistent.

Exact private source page references

11 vectors sol.pdf · p.9
11 vectors sol.pdf · p.10
11 vectors.pdf · p.2
11 vectors.pdf · p.11

11-09 · Affine collinearity and a triangle areaQuestion pp.2 / Solution pp.11

Question and explanations → · Complete native source article →

[2017/VJC/Prelim/II/2]. Printed/task labels inventoried: i, ii.collinear, ii.area.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.11
11 vectors.pdf · p.2
11 vectors.pdf · p.11

11-10 · Plane intersections and orthogonal directionsQuestion pp.3 / Solution pp.12, 13

Question and explanations → · Complete native source article →

[2010/DHS/Prelim/II/4]. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed with source qualification; see warning and topic review evidence. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

The source uses “perpendicular” for orthogonal directions. Actual intersection occurs only at m=−2/5.

Essential answer conditions and source qualifications

The lines intersect only for $m=-2/5$ ; otherwise they are skew, not intersecting perpendicular lines.

Exact private source page references

11 vectors sol.pdf · p.12
11 vectors sol.pdf · p.13
11 vectors.pdf · p.3
11 vectors.pdf · p.11

11-11 · A parallel line and a perpendicular planeQuestion pp.3 / Solution pp.13, 14

Question and explanations → · Complete native source article →

[2010/JJC/Prelim/I/7]. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.13
11 vectors sol.pdf · p.14
11 vectors.pdf · p.3
11 vectors.pdf · p.11

11-12 · Projection onto a plane and a reflected triangleQuestion pp.3 / Solution pp.15, 16

Question and explanations → · Complete native source article →

[2010/AJC/Prelim/I/13]. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.15
11 vectors sol.pdf · p.16
11 vectors.pdf · p.3
11 vectors.pdf · p.11

11-13 · Distinguish no intersection from containmentQuestion pp.4 / Solution pp.17, 18, 19

Question and explanations → · Complete native source article →

[modified 2010/IJC/Prelim/I/12]. Printed/task labels inventoried: i.intersection, i.distance, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

6 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.17
11 vectors sol.pdf · p.18
11 vectors sol.pdf · p.19
11 vectors.pdf · p.4
11 vectors.pdf · p.11

11-14 · Build coordinates from a cuboidQuestion pp.4 / Solution pp.19, 20

Question and explanations → · Complete native source article →

[2009/IJC/Prelim/I/13]. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

5 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

4 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.19
11 vectors sol.pdf · p.20
11 vectors.pdf · p.4
11 vectors.pdf · p.11

11-15 · Equal spacing between parallel planesQuestion pp.5 / Solution pp.21

Question and explanations → · Complete native source article →

[modified 2010/NYJC/Prelim/II/4]. Printed/task labels inventoried: parameters, distance, third-plane.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.21
11 vectors.pdf · p.5
11 vectors.pdf · p.11

11-16 · Project a point onto an intersection lineQuestion pp.5 / Solution pp.22, 23, 24

Question and explanations → · Complete native source article →

[2010/NJC/Prelim/I/9]. Printed/task labels inventoried: i, ii, iii.foot, iii.projection, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

5 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

1 page-item record. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.22
11 vectors sol.pdf · p.23
11 vectors sol.pdf · p.24
11 vectors.pdf · p.5
11 vectors.pdf · p.12

11-17 · Planes containing a prescribed lineQuestion pp.5 / Solution pp.24, 25, 26

Question and explanations → · Complete native source article →

[2010/CJC/Prelim/II/2]. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

6 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.24
11 vectors sol.pdf · p.25
11 vectors sol.pdf · p.26
11 vectors.pdf · p.5
11 vectors.pdf · p.12

11-18 · Parallel lines, a parallelogram and a midplaneQuestion pp.6 / Solution pp.26, 27, 28, 29

Question and explanations → · Complete native source article →

2025 TJC H2 Maths (9758) JC2 MSM · original exercise attribution retained on source pages. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

7 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

4 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.26
11 vectors sol.pdf · p.27
11 vectors sol.pdf · p.28
11 vectors sol.pdf · p.29
11 vectors.pdf · p.6
11 vectors.pdf · p.12

11-19 · A wardrobe model from lines and planesQuestion pp.6 / Solution pp.30, 31, 32, 33

Question and explanations → · Complete native source article →

[2023/TMJC/Prelim/I/9]. Printed/task labels inventoried: a, b, c, d, e.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

11 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

5 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

5 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.30
11 vectors sol.pdf · p.31
11 vectors sol.pdf · p.32
11 vectors sol.pdf · p.33
11 vectors.pdf · p.6
11 vectors.pdf · p.12

11-20 · A reflected laser and a sensor-distance checkQuestion pp.7 / Solution pp.34, 35, 36

Question and explanations → · Complete native source article →

[2017/YJC/Prelim/I/12]. Printed/task labels inventoried: i, ii, sensor.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

8 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

6 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

For beam distances, check the foot lies on the actual ray or incident segment; an infinite-line distance alone may be insufficient.

Essential answer conditions and source qualifications

sensor

Both perpendicular feet lie on the actual beams.

Exact private source page references

11 vectors sol.pdf · p.34
11 vectors sol.pdf · p.35
11 vectors sol.pdf · p.36
11 vectors.pdf · p.7
11 vectors.pdf · p.12

11-21 · A river as the intersection of two planesQuestion pp.8 / Solution pp.36, 37, 38

Question and explanations → · Complete native source article →

[2017/JJC/Prelim/II/3]. Printed/task labels inventoried: i, ii, iii, iv, v.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

6 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

6 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

11 vectors sol.pdf · p.36
11 vectors sol.pdf · p.37
11 vectors sol.pdf · p.38
11 vectors.pdf · p.8
11 vectors.pdf · p.12

11-22 · A regular tetrahedron and the methane angleQuestion pp.9 / Solution pp.39, 40, 41, 42

Question and explanations → · Complete native source article →

[2018/ACJC/Prelim/I/11]. Printed/task labels inventoried: i, ii, iii, iv, v.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

9 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

6 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

4 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

There are two possible tetrahedron vertices on opposite sides of the base; the source asks for the displayed one.

Essential answer conditions and source qualifications

The other tetrahedron vertex is $(10,-1,0)$ .

Exact private source page references

11 vectors sol.pdf · p.39
11 vectors sol.pdf · p.40
11 vectors sol.pdf · p.41
11 vectors sol.pdf · p.42
11 vectors.pdf · p.9
11 vectors.pdf · p.12

11-23 · The shortest cable to an inclined roof diagonalQuestion pp.10 / Solution pp.43, 44

Question and explanations → · Complete native source article →

[2010/PJC/Prelim/II/3]. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

5 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

4 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed: independent vector calculation compared with rendered question and answer pages. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

The printed base name O conflicts with the origin O; interpret the base as the separately located point (15,6,0). Its top lies on the extended diagonal beyond C.

iii

Its parameter 1/5 lies within the roof diagonal segment.

Exact private source page references

11 vectors sol.pdf · p.43
11 vectors sol.pdf · p.44
11 vectors.pdf · p.10
11 vectors.pdf · p.12

An empty omission list is not a completeness certificate. Add any issue you find to the article or page-item record before calling that part finished.