Vectors - Perpendicular Projection and Reflection in a Plane

The line \({{l}_{3}}\) which passes through \(B(3,-4,4)\) and is parallel to the direction vector \(\left( \begin{matrix}14  \\  -2  \\5  \end{matrix} \right)\).

The plane \({{p}_{1}}\) has the equation \({{p}_{1}}:3x-2y-3z=4\). Find

1. the coordinates of point of intersection between the line \({{l}_{3}}\) and plane \({{p}_{1}}\),
2. the acute angle between the line \({{l}_{3}}\) and plane \({{p}_{1}}\),
3. the equation of line of the image of line \({{l}_{3}}\) in plane \({{p}_{1}}\).