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# Find the angle between the planes :

x – y + z = 5 and x + 2y + z = 9

Answer :

Given planes are x – y + z = 5 and x + 2y + z = 9

We know that angle between two planes,

a_{1}x + b_{1}y + c_{1}z + d_{1} = 0

a_{2}x + b_{2}y + c_{2}z + d_{2} = 0 is given as

Here we have,

a_{1} = 1, b_{1} = – 1, c_{1} = 1

a_{2} = 1, b_{2} = 2, c_{2} = 1

Hence, the angle between planes x – y + z = 5 and x + 2y + z = 9 is

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