The angle between the lines and

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

The angle between the lines ABAB and CDCD, where A=(0,0,0)A=(0,0,0), B=(1,1,1)B=(1,1,1), C=(−1,−1,−1)C=(-1,-1,-1), and D=(0,1,0)D=(0,1,0), is given by (1) cos⁡θ=13\cos\theta=\frac{1}{\sqrt{3}} (2) cos⁡θ=432\cos\theta=\frac{4}{3\sqrt{2}} (3) cos⁡θ=15\cos\theta=\frac{1}{\sqrt{5}} (4) cos⁡θ=122\cos\theta=\frac{1}{2\sqrt{2}}

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