1.

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).

Answer»

Solution :GIVEN `alpha = beta = GAMMA`
therefore `cos^2alpha+cos^2beta+cos^2gamma = 1`
`IMPLIES 3cos^2alpha = 1 implies COSALPHA = +-1/sqrt3`
therefore `alpha = cos^(-1) (+-1/sqrt3) = beta = gamma`


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