Vector Equations of Lines 2

Complete the following question for our lesson tomorrow. In the first instance, use the Cartesian equation to find your solution, then see of you can find a vector-based solution to the same problem.

Find the distance of the point $A(1,3)$ to the line
$$\displaystyle{\vec{r}=\begin{bmatrix}4\\2\end{bmatrix}+\lambda \begin{bmatrix}4\\1\end{bmatrix}}$$