Consider the linear system a1x + b1y + c1z = d1 a2x + b2y + c2z = d2 a3x + b3y + c3z = d3 of three equations in three unknowns to represent three planes p1, p2, and p3 in xyz-space. describe the solution set of the system in each of the following cases. a) the three planes are parallel and distinct b) the three planes coincide (p1=p2=p3) c) p1 and p2 coincide and are parallel to p3 d) p1 and p2 intersect in a line l that is parallel to p3 e) p1 and p2 intersect in a line l that lies in p3 f) p1 and p2 intersect in a line l that intersects p3 in a single point.