An incident ray is represented by the vector (units arbitrary)

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

Problem

An incident ray is represented by the vector v=3i^−4j^\mathbf{v}=3\hat i-4\hat j (units arbitrary). It strikes a plane whose unit normal is n^=12 (0i^+1j^+1k^)\hat n=\dfrac{1}{\sqrt{2}}\,(0\hat i+1\hat j+1\hat k). Find the reflected ray vector vr\mathbf{v}_r. (a) 3i^+4j^+0k^3\hat i+4\hat j+0\hat k (b) 3i^+0j^+4k^3\hat i+0\hat j+4\hat k (c) 3i^−8j^−4k^3\hat i-8\hat j-4\hat k (d) 3i^−2j^+2k^3\hat i-2\hat j+2\hat k

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