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If a vector vec(P) making angles alpha, ...

If a vector `vec(P)` making angles `alpha, beta, gamma` respectively with the X,Y, and Z axes 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
`sin^(2)alpha+sin^(2)beta+singamma`
`=1-cos^(2)alpha+1-cos^(2)beta+1-cos^(2)gamma`
`=3-(cos^(2)alpha+cos^(2)beta+cos^(2)gamma)=3-1=2`
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