A light beam travels along the ray determined by a unit vector L, strikes a flat surface at point P, and is reflected along the ray determined by a unit vector R, where 1 2 (Figure 26) Show that if N is the unit vector orthogonal to the surface, then R 2(L N)N L Incoming light L N 01 0 P Reflected ...

0 0 We denote by W a unit vector orthogonal to N in the direction shown in the figure and l ...

A light beam travels along the ray determined by a unit vector L, strikes a flat surface

Question:

A light beam travels along the ray determined by a unit vector L, strikes a flat surface at point P, and is reflected along the ray determined by a unit vector R, where θ₁ = θ₂ (Figure 26). Show that if N is the unit vector orthogonal to the surface, then

R = 2(L.N)N - L Incoming light L N 01 0 P Reflected light R