Question
Let $\vec{a}$, $\vec{b}$, $\vec{c}$ be three vectors of equal magnitude such that the angle between each pair is $\frac{\pi}{3}$. If $|\vec{a} + \vec{b} + \vec{c}| = \sqrt{6}$, then $|\vec{a}| =$
Let $\vec{a}$, $\vec{b}$, $\vec{c}$ be three vectors of equal magnitude such that the angle between each pair is $\frac{\pi}{3}$. If $|\vec{a} + \vec{b} + \vec{c}| = \sqrt{6}$, then $|\vec{a}| =$