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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 =` |
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Answer» Correct Answer - 3 `cos^(2)alpha + cos^(2) beta + cos^(2) gamma = 1 ` `1-sin^(2)alpha + 1-sin^(2)beta+1-sin^(2)gamma =1 ` `3- (sin^(2) alpha + sin^(2) beta + sin^(2) gamma)=1` `sin^(2) alpha + sin^(2) beta + sin^(2) gamma = 3-1 =2` |
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