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 = 2
(d) 10x + 15y − 5z = 1
(e) 3x − 2y + z = 1
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