Let for . For which value(s) of in this interval is the velocity vector orthogonal to…

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

Problem

Let r(t)=⟨t, t2, 2⟩r(t)=\langle t,\,t^{2},\,2\rangle for −2≤t≤2-2\le t\le 2. For which value(s) of tt in this interval is the velocity vector orthogonal to the position vector? (a) t=0t=0 only (b) t=0 and t=−12t=0\text{ and }t=-\dfrac{1}{2} (c) No real value of tt (d) t=−2, 0, 2t=-2,\,0,\,2

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