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The angle between the lines and
MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry
Problem The angle between the lines A B AB A B and C D CD C D , where A = ( 0 , 0 , 0 ) A=(0,0,0) A = ( 0 , 0 , 0 ) , B = ( 1 , 1 , 1 ) B=(1,1,1) B = ( 1 , 1 , 1 ) , C = ( − 1 , − 1 , − 1 ) C=(-1,-1,-1) C = ( − 1 , − 1 , − 1 ) , and D = ( 0 , 1 , 0 ) D=(0,1,0) D = ( 0 , 1 , 0 ) , is given by
(1) cos θ = 1 3 \cos\theta=\frac{1}{\sqrt{3}} cos θ = 3 1
(2) cos θ = 4 3 2 \cos\theta=\frac{4}{3\sqrt{2}} cos θ = 3 2 4
(3) cos θ = 1 5 \cos\theta=\frac{1}{\sqrt{5}} cos θ = 5 1
(4) cos θ = 1 2 2 \cos\theta=\frac{1}{2\sqrt{2}} cos θ = 2 2 1
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