Hi, I would very much appreciate it, if your help me answer these questions with step by step explanation. As soon as possible. Please and thank you.

Questions:

1. Show that the plane 1: 2x - 3y + z - 1 = 0 and plane 2: 4x - 3y - 17z = 0 are perpendicular.
2. Determine the parametric equations for the line perpendicular to L: r= (5, 6) + s (1, -5), se containing the point P(2, 4).
3. Determine points of intersection between the line and the plane if any exist,

a) L: r= (3, 1, 2) + s (1, -4, -8), se

Plane: 4x + 2y - z - 8 = 0

b) Write the vector equation for a line parallel to the line L: r= (1, 5) + s (-1, 3), se containing the point P(2, 17).