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 .