Vectors - Angles Between Two Lines

Determine whether the following pair of lines are parallel, intersecting or skew. Find the position vector of the intersection point (if any) and the angle between the lines.

\({{l}_{1}}\mathrm{:r}=\left( \begin{matrix} 3 \\1\\ -5 \end{matrix} \right)+\lambda \left( \begin{matrix} -1\\ -2\\ 3 \\ \end{matrix} \right)\), \({{l}_{2}}\mathrm{:}x+3=1-y,z=0\)