10. $$\begin{aligned} & \boldsymbol { v } _ { \mathbf { 1 } } = \left( \begin{array} { c } \sqrt { 17 }
\cos 2 \theta
- 4 \end{array} \right)
& \boldsymbol { v } _ { \mathbf { 2 } } = \left( \begin{array} { c } - \sin 2 \theta
2 \sqrt { 2 }
1 \end{array} \right) \end{aligned}$$ Given that \(\boldsymbol { v } _ { \mathbf { 1 } }\) and \(\boldsymbol { v } _ { \mathbf { 2 } }\) are perpendicular and that \(0 \leq \theta \leq \pi\), find all possible values of \(\theta\). Give your answers to 3 significant figures.
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