Given for , determine an equation of the normal plane to the curve at the point…

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

Problem

Given

\mathbf r(t)=\langle e^{t},\,t^{2},\,\ln t\rangle

for

t>0

, determine an equation of the normal plane to the curve at the point corresponding to

t=1