Identify the correct expression for the reflected ray vector when an incident ray…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Identify the correct expression for the reflected ray vector vr\mathbf{v}_r when an incident ray with vector v\mathbf{v} strikes a plane whose unit normal is n^\hat n. (a) vr=v−(v⋅n^) n^\mathbf{v}_r = \mathbf{v} - (\mathbf{v}\cdot\hat n)\,\hat n (b) vr=v+2 (v⋅n^) n^\mathbf{v}_r = \mathbf{v} + 2\,(\mathbf{v}\cdot\hat n)\,\hat n (c) vr=v−2 (v⋅n^) n^\mathbf{v}_r = \mathbf{v} - 2\,(\mathbf{v}\cdot\hat n)\,\hat n (d) vr=−v+2 (v⋅n^) n^\mathbf{v}_r = -\mathbf{v} + 2\,(\mathbf{v}\cdot\hat n)\,\hat n

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