Question
What is the angle between vectors $\vec{a}$ and $\vec{b}$, given that $\vec{a}$, $\vec{b}$, and $\vec{c}$ are unit vectors satisfying the equation $\vec{a} + \vec{b} + \sqrt{3}\vec{c} = \vec{0}$?
What is the angle between vectors $\vec{a}$ and $\vec{b}$, given that $\vec{a}$, $\vec{b}$, and $\vec{c}$ are unit vectors satisfying the equation $\vec{a} + \vec{b} + \sqrt{3}\vec{c} = \vec{0}$?