If a line makes angles `alpha, beta, gamma` with the coordinate axes, prove that `sin^2alpha+sin^2beta+sin^2gamma=2`

If a line makes angles alpha, beta, gamma with the coordinate axes, prove that cos2alpha + cos 2beta + cos2gamma + 1 = 0 .

If a line makes angles alpha , beta ,gamma with coordinate axes , then sin ^2 alpha +sin^2 beta + sin^2 gamma ………

If a line makes angles alpha,beta and gamma with the coordinate axes,then prove that cos2 alpha+cos2 beta+cos2 gamma=-1

If a line makes angle alpha, beta and gamma with the axes respectively then sin^(2)alpha+sin^(2)beta+sin^(2)gamma=

If a line makes angle alpha, beta and gamma with the coordinate axes respectively, then cos2alpha+cos 2 beta+cos 2gamma=

If a line in the space makes angle alpha,beta and gamma with the coordinate axes, then cos2alpha+cos2beta+cos2gamma+sin^2alpha+sin^2beta+sin^2gamma equals

If a vector makes angles alpha,beta,gamma with OX, OY and OZ respectively, prove that sin^(2)alpha+sin^(2)beta+sin^(2)gamma=2

If a line makes an angle alpha,beta,gamma with positive axes,then the range of sin alpha sin beta+sin beta sin gamma+sin gamma sin alpha is (A)(-(1)/(2),1) (B) ((1)/(2),2)(C)(-1,2)(D)(-1,2]

A line makes an angle alpha, beta, gamma, delta with the four diagonals of a cube, then sin^(2)alpha+sin^(2)beta+sin^(2)gamma+sin^(2)delta=