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. 3
B. 2
C. 1
D. 0

Answer

B

Explanation

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