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If
[
0
2
b
γ
α
β
−
γ
α
−
β
γ
]
\begin{bmatrix} 0 & 2b & \gamma \\ \alpha & \beta & -\gamma \\ \alpha & -\beta & \gamma \end{bmatrix}
0
α
α
2
b
β
−
β
γ
−
γ
γ
…
Problem
If
[
0
2
b
γ
α
β
−
γ
α
−
β
γ
]
\begin{bmatrix} 0 & 2b & \gamma \\ \alpha & \beta & -\gamma \\ \alpha & -\beta & \gamma \end{bmatrix}
0
α
α
2
b
β
−
β
γ
−
γ
γ
is orthogonal, then find the value of
2
α
2
+
6
β
2
+
3
γ
2
2\alpha^2 + 6\beta^2 + 3\gamma^2
2
α
2
+
6
β
2
+
3
γ
2
.
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