# Which of the following is the correct formula for the angle between two planes $$A_1 x+B_1 y+C_1 z+D_1$$=0 and $$A_2 x+B_2 y+C_2 z+D_2$$=0?

Category: QuestionsWhich of the following is the correct formula for the angle between two planes $$A_1 x+B_1 y+C_1 z+D_1$$=0 and $$A_2 x+B_2 y+C_2 z+D_2$$=0?
Editor">Editor Staff asked 11 months ago

Which of the following is the correct formula for the angle between two planes A_1 x+B_1 y+C_1 z+D_1=0 and A_2 x+B_2 y+C_2 z+D_2=0?

(a) cos⁡θ=\frac{A_1 B_1 C_1}{A_2 B_2 C_2}

(b) cos⁡θ=\left |\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}}\right |

(c) sin⁡θ=\left |\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}}\right |

(d) cos⁡θ=A_1 A_2+B_1 B_2+C_1 C_2

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I would like to ask this question from Three Dimensional Geometry topic in division Three Dimensional Geometry of Mathematics – Class 12
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