Vectors - Equations of Planes

A plane \(p\) is parallel to that the lines
\({{l}_{1}}:r=\left( \begin{matrix} 2 \\ 3 \\ 2 \\ \end{matrix} \right)+\lambda \left( \begin{matrix} -2 \\ 0 \\ 3 \\ \end{matrix} \right)\) and \({{l}_{2}}:r=\left( \begin{matrix} 3 \\ -1 \\ 2 \\ \end{matrix} \right)+\mu \left( \begin{matrix} 1 \\ -1 \\ 3 \\ \end{matrix} \right)\). Given that \({{l}_{2}}\) lies in the plane \(p\), find the equation of \(p\) in

1. parametric form,
2. scalar product form,
3. Cartesian form.