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=`

A straight line L makes angles alpha, beta, gamma and delta with the four diagonals of a cube, prove that, sin^(2)alpha+sin^(2) beta+sin^(2) gamma+sin^(2) delta =4/3

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 line makes angles alpha,beta,lambda,delta with the 4 diagonals of a cube then sin^(2) alpha + sin^(2)beta+sin^(2)lambda+sin^(2)delta

If line makes angle alpha, beta, gamma, delta with four diagonals of a cube, then the value of sin^2alpha+sin^2beta+sin^2gamma+sin^2delta is (A) 4/ (B) 1 (C) 8/3 (D) 7/3

If line makes angle alpha, beta, gamma, delta with four diagonals of a cube, then the value of sin^2alpha+sin^2beta+sin^2gamma+sin^2delta is (A) 4/3 (B) 1 (C) 8/3 (D) 7/3

If a line makes angles alpha,beta,gamma,delta with the body diagonals of a cubes then the value of 9(sin^(2)alpha+sin^(2)beta+sin^(2)gamma+sin^(2)delta)^(2), is