A hint to get started
Find a line-plane angle and reflect a point
Plane Π has equation . Line l passes through P with position vector and is parallel to .
(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.