12. [12 Marks]. Determine vector equation and the corresponding parametric equations of each plane.
(a) The plane with direction vectors a = (4, 1, 0) and b = (3, 4, -1), passing through the point A(-1, 2, 7).
(b) A plane passing through the points A(1, 0, 0) and B(0, 1, 0) and C(0, 0, 1).
(c) The plane passing through points A(1, 1, 0), B(4, 5, -6), with direction vector a = (7, 1, 2).
13. [8 Marks]. The point A(1, 2, 2) is a point on the plane with normal n = (-1, 2, 6). Determine the Cartesian equation of this plane.
14. [8 Marks]. Determine the Cartesian equation of a plane containing the points A(-1, 2, 5), B(3, 2, 40 and C(-2, -3, 6).