Vectors Help

Hi,
Can someone please post a solution to the last part of this question?
Question 3. [20 marks] Let Π1 be the x-y plane (i.e. with equation z = 0), let Π2 be the x-z
plane (i.e. with equation y = 0), let Π3 be the y-z plane (i.e. with equation x = 0), and let Π4
be the plane with equation x+y+z = 1. Let Q be the point with position vector q =(-3 2 1)
(a) Determine the distance between Q and Π1. [2]
(b) Determine the distance between Q and Π4. [3]
(c) Determine the coordinates of the point on Π4 that is closest to Q. [3]
(d) If A denotes the point in the intersection Π1 ∩ Π2 ∩ Π4, and B denotes the point in the
intersection Π1 ∩ Π3 ∩ Π4, determine the coordinates of the mid-point C of A and B. [3]
(e) If l denotes the line through the points C (from part (d) above) and Q, then determine
the coordinates of the point in the intersection l ∩ Π3. [4]
(f) Determine the coordinates of a point which is equidistant from the four planes Π1, Π2,
Π3, Π4 (i.e. the point has the same distance from each of these planes).
Thank you!

Have you sketched the planes and thought about the symmetry?

nopee