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If θ is the angle between the planes a1x + b1y + c1z + d1 = 0 and a2x + b2y + c21z + d2 = 0 then cos θ=\(\frac {a1a2.b1b2.c1c2}{\sqrt {a1^2+b1^2+c1^2} \sqrt {a2^2+b2^2+c2^2 }}\).

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If θ is the angle between the planes a<sub>1</sub>x + b<sub>1</sub>y + c<sub>1</sub>z + d<sub>1</sub> = 0 and a<sub>2</sub>x + b<sub>2</sub>y + c2<sub>1</sub>z + d<sub>2</sub> = 0 then<br /> cos θ=\(\frac {a1a2.b1b2.c1c2}{\sqrt {a1^2+b1^2+c1^2} \sqrt {a2^2+b2^2+c2^2 }}\).






 
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