Chapter 14.5, Problem 29E

To determine

To find: The unit tangent vector T and the principal unit normal vector N for the parameterized curve $r\left(t\right)=\langle \frac{t^2}{2},4-3t,1\rangle$ and to verify $\left|T\right|=\left|N\right|=1\text{ and }T\cdot N=0$.