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Question

Mathematics Question on Direction Cosines and Direction Ratios of a Line

If each side of a cube is x, then the angle between the diagonals of the cube is :

A

cos⁡−1(13)\cos^{-1}(\frac{1}{\sqrt3})

B

cos⁡−1(13)\cos^{-1}(\frac{1}{3})<

C

cos⁡−1(−13)\cos^{-1}(-\frac{1}{\sqrt3})

D

cos⁡−1(−13)\cos^{-1}(-\frac{1}{3})

Answer

cos⁡−1(13)\cos^{-1}(\frac{1}{3})<

Explanation

Solution

The correct option is (B) :cos⁡−1(13)\cos^{-1}(\frac{1}{3}).