If a vector `vec(A)` make angles `alpha , beta ` and `gamma`, respectively , with the `X , Y` and `Z` axes , then `sin^(2) alpha + sin^(2) beta + sin^(2) gamma =`

If alpha, beta and gamma are the angles made by a vector with X, Y and Z- axes then sin^(2) alpha + sin^(2) beta + sin^(2) gamma is

If a vector vec(P) making angles alpha, beta, gamma respectively with the X,Y, and Z axes respectively. Then sin^(2)theta+sin^(2)beta+sin^(2)gamma=

If alpha, beta, gamma are the angle made by a vector with the coordinate axes, then sin^(2) alpha + sin^(2) beta + sin^(2) gamma =

If alpha + beta - gamma =pi, then sin ^(2) alpha + sin^(2) beta- sin ^(2) gamma=

A vector makes angles alpha , beta and gamma with the X, Y and Z axes respectively. Find the value of the expression ( sin^2 alpha + sin^2 beta + sin^2 gamma)/( cos^2 alpha + cos ^2 beta + cos^2 gamma)

If alpha,beta,gamma are the angles which a line makes with OX,OY and OZ , then sin^(2)alpha + sin ^(2) beta+ sin^(2) gamma

If a line makes angles alpha, beta, gamma with OX, OY and OZ-axes respectively, then find the vlaue of sin ^(2) alpha + sin ^(2) beta + sin ^(2) gamma.

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