Let and . If the scalar projection of on equals , find the value of…

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

Problem

Let p⃗=(k,2,1)\vec{p}=(k,2,1) and q⃗=(1,−1,2)\vec{q}=(1,-1,2). If the scalar projection of p⃗\vec{p} on q⃗\vec{q} equals 33, find the value of kk. (a) 323\sqrt2 (b) 33 (c) 363\sqrt6 (d) −36-3\sqrt6

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