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in Vector algebra by (36.3k points)

Let v be a unit vector along the incident ray, w be a vector along the reflected ray and a be a unit vector along the outward normal to the plane mirror at the point of incidence P. Express w in terms of a and v.

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Note that a is directed along the internal bisector of the triangle formed by the vectors - v and w

Thus, ka = – v + w

Thus, w = v + ka = v – 2(a.(–v)).

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