Review practice
Choose a section to work through its questions and solutions. Your progress is shared across pages. Ranges follow collection order; original source labels are kept on each question.
Section 1 · Questions 1–6
Use one displacement for four vector tasks · Find a displacement and prove a line intersection ratio · +4 more
- Question 1 · Use one displacement for four vector tasks
- Question 2 · Find a displacement and prove a line intersection ratio
- Question 3 · Recover a dot product, projection and a parameterised area
- Question 4 · Find a perpendicular foot on a parameterised line
- Question 5 · Distinguish four independent parameter cases
- Question 6 · Extend a segment and use two vectors based at the angle vertex
Section 2 · Questions 7–12
Expand a cross product for an area ratio · Use an ordered parallelogram and a norm constraint · +4 more
- Question 7 · Expand a cross product for an area ratio
- Question 8 · Use an ordered parallelogram and a norm constraint
- Question 9 · Remove a parallel component from an area calculation
- Question 10 · Prove orthogonality and explain the zero-vector case
- Question 11 · Use a projection foot to find a pyramid base area
- Question 12 · Relate external division, area ratios and a unit-vector projection
Section 3 · Questions 13–14
Explain why an acute-angle projection has positive sign · Turn a cross product with a unit direction into a distance