Mathematics

Mathematics

Problem

Consider a 'corner reflector' made of two plane mirrors joined at 90∘90^{\circ}. An object approaches the corner with velocity vector v⃗=vxi^+vyj^\vec{v} = v_{x}\hat{i} + v_{y}\hat{j}. Prove or determine the relationship between the object's velocity vector and the velocity vector of the final image formed after two reflections.

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