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Question 1
If $\vec{a}, \vec{b}, \vec{c}$ are non-coplanar unit vectors and $\vec{a} \times (\vec{b} \times \vec{c}) = \dfrac{\vec{b} + \vec{c}}{\sqrt{2}}$, then the angle between $\vec{a}$ and $\vec{b}$ is:
A.
$\dfrac{\pi}{4}$
B.
$\dfrac{3\pi}{4}$
C.
$\dfrac{\pi}{2}$
D.
$\pi$
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