If θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 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 line whose ratios are a<sub>1</sub>, b<sub>1</sub>, c<sub>1</sub> and the plane ax + by + cz + d = 0 then<br /> cos θ=\(\frac {a1a2.b1b2.c1c2}{\sqrt {a1^2+b1^2+c1^2} \sqrt {a2^2+b2^2+c2^2 }}\).