Question

Incident ray given in vector form find reflected ray

Answer 1

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The Normal To Mirror is Defined by vector i+j. let i-j as reference surface as surface will be along direction of vector that is perpendicular to normal.Now ray i+j-k falls on it making some angle with the normal due to additional component in z direction then any reflected ray will make same angle with the normal and that will be along direction of i+j+k.This is because angle that can be calculated by tan inverse formula will remain same if modulus has been taken.As it is unit 1/sqrt(3) is in result and negative sign is because it is reflected.

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