Let $r(t) = e^t \cos(t)\ \hat{i} + e^t\sin(t)\ \hat{j} + e^t\ \hat{k}$ be a vector valued function.
Interpret $r$ as the position of a moving object at time $t$: find the curvature of $r$ at time $t$, and determine the tangential and normal components of acceleration.
Any help AT ALL?