question_answer

If \[\sin \alpha +\sin \beta +\sin \gamma =0=\cos \alpha +\cos \beta +\cos \gamma ,\] then the value of \[{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma \] is

A)  1                                

B)  \[\frac{1}{2}\]

C)  \[\frac{2}{3}\]                         

D)  \[\frac{3}{2}\]

E)  None of these