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If vec(A) makes an angle alpha, beta and...

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=`

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
`cos^(2) alpha + cos^(2)beta + cos^(2)gamma = 1 `
`(1-sin^(2)alpha) + (1-sin^(2)beta) + (1-sin^(2)gamma) = 1`
or `sin^(2)alpha + sin^(2)beta + sin^(2)gamma = 3 -1 = 2`
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