## Shortest distance between point and line

Find the shortest distance between the point (11,2,-1) and the line of intersection of the planes:

$\mathbf{x} \cdot \begin{pmatrix}1\\-1\\3\end{pmatrix}=0$ and $\mathbf{x}=\lambda \begin{pmatrix}2\\1\\2\end{pmatrix}+\mu \begin{pmatrix}3\\1\\-3\end{pmatrix}$