If \( \left[\begin{array}{ccc}0 & 2 \beta & \gamma \\ \alpha & \bet...

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If \( \left[\begin{array}{ccc}0 & 2 \beta & \gamma \\ \alpha & \beta & -\gamma \\ \alpha & -\beta & \gamma\end{array}\right] \) is orthogonal, then find the value
P
W of \( 2 \alpha^{2}+6 \beta^{2}+3 \gamma^{2} \).
(A) 1
(B) 2
(C) 3
(D) 4
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