Find the angle between the planes :
x + y – 2z = 3 and 2x – 2y + z = 5
Given planes are x + y – 2z = 3 and 2x – 2y + z = 5
We know that angle between two planes,
a1x + b1y + c1z + d1 = 0
a2x + b2y + c2z + d2 = 0 is given as
Here we have,
a1 = 1, b1 = 1, c1 = – 2
a2 = 2, b2 = – 2, c2 = 1
Hence, the angle between planes x + y – 2z = 3 and 2x – 2y + z = 5 is