Find an equation of each of the following planes.
(a) Passing through A(1, -1, 6), B(0, 0, 1), and C(4, 7, -11).
(b) Passing through P(3, 0, -1) and parallel to the plane with equation 2x - y + z = 3.
(c) Containing P(2, 1,0) and the line [x y z]T = [3 -1 2]T + t[ 1 0 -1]T.
(d) Containing the lines
[x y z]T = [3 1 0]T + t[1 -1 3]T and [x y z]T = [0 -2 5]T + t[2 1 -1]T.
(e) Each point of which is equidistant from P(0, 1, -1) and Q(2, -1, -3).