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If a vector vec(A) make angles alpha , b...

If a vector `vec(A)` make angles `alpha , beta ` and `gamma`, respectively , with the `X , Y` and `Z` axes , 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

`(c) sin^(2)alpha+sin^(2)beta+sin^(2)gamma`
`=1-cos^(2)alpha+1-cosbeta+1-cos^(2)gamma`
`=3-(cos^(2)alpha+cos^(2)beta+cos^(2)gamma)=3-1=2`
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