If `vec(A)` makes an angle `alpha, beta` and `gamma` from x,y and z axis respectively then `sin^(2)alpha+sin^(2) beta+sin^(2) gamma=`

Options

A. 0
B. 1
C. 2
D. None of these

Answer

3

Explanation

`cos^(2) alpha+cos^(2) beta+cos^(2)gamma=1`
`1-sin^(2) alpha+1-sin^(2) beta+1-sin^(2) gamma=1`
`sin^(2) alpha+sin^(2) beta +sin^(2) gamma=2`