A particle moves according to

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

\mathbf r(t)=\langle 2t,\,3-t^{2},\,t\rangle

. Determine all real values of

t

for which the velocity vector is orthogonal to the position vector.