Kinematics Question 107
Question: If a vector $ \overrightarrow{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 = $
Options:
A) 0
B) 1
C) 2
D) 3
Correct Answer: C $ {{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +\sin \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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