Manipal MET2021PhysicsRay Optics
If A , B and C are the unit vectors along the incident ray, reflected ray and outward normal to the reflecting surface, then:
Options
- AB = A - C
- BB = A +( A C ) C
- CB = A + C
- DB = A -2( A C ) C
Correct answer
D. B = A -2( A C ) C
Step-by-step solution
Let A , B and C be as shown in figure. Let be the angle of incidence, which is equal to the angle of reflection. Resolving these vectors in rectangular components, we have aligned A & = i - j B & = i + j B - A & =2 j aligned or B = A +2 j Now, A C =(1)(1) (180^ - )=- B = A -2( A C ) j or B = A -2( A C ) C ( as j = C )