(Solved): The unit tangent vector T and the principal unit normal vector N for the parameterized curve r(t)= ...

The unit tangent vector $\mathbf{T}$ and the principal unit normal vector $\mathbf{N}$ for the parameterized curve $r(t)=?3\cos t,3\sin t,20t?$ are shown below. Use the definitions to compute the unit binormal vector and torsion for $r(t)$. $\begin{array}{rl}T& =\frac{??3\sin t,3\cos t,20?}{\sqrt{409}}\\ \mathbf{N}& =??\cos t,?\sin t,0?\end{array}$ The unit binormal vector is $\mathrm{B}=1$ (Type exact answers, using radicals as needed.)