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CGP EDU Academic Team
Published on: September 12, 2026
If a vector \vec{p} making angles a , b , and g respectively with the X, Y and Z axes respectively. Then \(\sin^{2}\alpha + \sin^{2}\beta + \sin^{2}\gamma =\)
Text Solution
Verified by ExpertsThe correct answer is:
C
\(\sin^{2} \alpha + \sin^{2} \beta + \sin^{2} \gamma\) \(= 1 - \cos^{2}\alpha + 1 - \cos^{2}\beta + 1 - \cos^{2}\gamma\)
\(= 3 - (\cos^{2}\alpha + \cos^{2}\beta + \cos^{2}\gamma) = 3 - 1 = 2\)
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