Porisma

A hint to get started

Reflect a light ray using the plane normal

A=(4,1,0), and line l1 is x−3=−y=(z−3)/2x-3=-y=(z-3)/2.

(i) Find plane π containing A and perpendicular to l1, in scalar-product form. marks

(ii) Find P on l1 with AP perpendicular to l1. marks

A ray travels along l2 from (0,−9,1) to P and reflects in π along l3, in the same plane as l1,l2, with equal angles between l1,l2 and l1,l3. Find l3. marks

[2016/SAJC/Promo/11]

CJC · Review problems · Question 12

The normal line fixes the point P; reflecting the source across this axis gives the outgoing ray direction.

Read the worked solution