Vectors - Projection Lengths

The coordinates of points \(A\) and \(B\) are \(\left( 2,-3,2 \right)\) and \((3,-4,4)\). Find the exact length of projection of \(\overrightarrow{AB}\) on \({{l}_{1}}:\mathbf{r}=\left( \begin{matrix} 1  \\-5  \\ 2  \end{matrix} \right)+\lambda \left( \begin{matrix}14  \\ -2  \\ 5  \end{matrix} \right);\lambda \in \mathbb{R}\).