Let Q(3, 1,-6) and let l be the line passing through the point Q and perpendicular to the plane P1 defined by the equation x-y+3z = 2. Let P2 be the plane defined by the equation -2x + 2y- 6z = -7. a) Find the parametric equations of the line l b) Find the intersection of the plane P1 with the line l. c) Determine whether the planes P1 and P2 are parallel. d) Find the distance between the plane P1 and the plane P2.

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