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 alpha, beta, gamma be the direction angles of a straight line, then prove that sin^(2) alpha+sin^(2) beta+sin^(2) gamma =2

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

If alpha, beta , gamma are angles of a triangle then the value of (sin^(2) alpha + sin ^(2) beta+sin ^(2) gamma-2 cos alpha cos beta cos gamma) is-

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 .

A line makes angles alpha, beta, gamma and delta with the diagonals of a cube, prove that sin^(2) alpha + sin^(2) beta + sin^(2) gamma + sin^(2) delta = (8)/(3) .

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