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Q. Let $O A B C$ be a regular tetrahedron with side length unity. Angle between skew lines $O A \& B C$ be $\alpha$, angle between skew lines $O B \& C A$ be $\beta$ and angle between skew lines OC \& AB be $\gamma$.
$ \sin ^2 \alpha+\sin ^2 \beta+\sin ^2 \gamma$ is equal to

Vector Algebra

Solution:

Correct answer is (d) 3