List of top Mathematics Questions on Vector Algebra asked in CPET

If \(\vec{a}, \vec{b}, \vec{c}\) are three vectors satisfying \(|\vec{a}|=1, |\vec{b}|=2, |\vec{c}|=1\) and \(\vec{a}\times(\vec{a}\times\vec{b}) + \vec{c} = 0\), then what is the angle between the vectors \(\vec{a}\) and \(\vec{b}\)?