Find the angle between the planes :

2x – y + z = 4 and x + y + 2z = 3

Given planes are 2x – y + z = 4 and x + y + 2z = 3


We know that angle between two planes,


a1x + b1y + c1z + d1 = 0


a2x + b2y + c2z + d2 = 0 is given as



Here we have,


a1 = 2, b1 = – 1, c1 = 1


a2 = 1, b2 = 1, c2 = 2







Hence, the angle between planes 2x – y + z = 4 and x + y + 2z = 3 is .


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