Find the angle between the plane: `x+y-2z=3\ a n d\ 2x-2y+z=5` .

Explanation

Here , Given planes are x+y-2 z=3 and 2 x-2 y+z=5

It is known 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


`cos theta=frac{a_{1} a_{2}+b_{1} b_{2}+c_{1} c_{2}}{sqrt{a_{1}^{2}+b_{1}^{2}+c_{1}^{2}} sqrt{a_{2}^{2}+b_{2}^{2}+c_{2}^{2}}}`

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