Prove that the measure of the angle betw...

Prove that the measure of the angle between two main diagonals of a cube is `cos^(-1)frac[1][3]`.

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Prove the following by vector method. Measure of the angle between two diagonals of a cube is cos^-1 (1/3)

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If veca makes equal angles with hati, hatj and hatk and has magnitude 3, prove that the angle between veca and each of hati, hatj and hatk is cos^(-)(1/sqrt3) .

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