Porisma

A hint to get started

Find a line-plane angle and reflect a point

Plane Π has equation r⋅(1,2,−3)=5\mathbf r\cdot(1,2,-3)=5. Line l passes through P with position vector (7,4,−6)(7,4,−6) and is parallel to (7,3,−5)(7,3,−5).

(i) Find the perpendicular distance from the origin to Π. marks

(ii) Find the acute angle between l and Π. marks

(iii) Find the position vector of the perpendicular foot from P to Π. Hence find the position vector of P’s reflection in Π. marks

[2007/IJC/I/10(modified)]

CJC · Review problems · Question 3

A line-plane angle complements its angle with the normal.

Read the worked solution