Vectors - Intersection of a Line and a Plane

The line \({{l}_{3}}\) which passes through \(B\left( 7,4,-5 \right)\) and is parallel to the direction vector \(\left( \begin{matrix}4  \\4  \\-7  \end{matrix} \right)\). The plane \({{p}_{1}}\) has the equation \(x-3y+2z=-5\). 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 \({{p}_{1}}\).