Determine which of the planes whose equations are given below are parallel and which are perpendicular. Are any of the planes the same? a) 2x + 3y − z = 3 b) −6x + 4y − 2z + 2 = 0 c) x + y − z = 0 d) 10x + 15y − 5z = 1 e) 3x − 2y + z = 1 Provide reasoning why the planes are parallel or perpendicular or same. Find the distance between parallel planes.