If \(\vec{a},\vec{b},\vec{c}\) be three unit vectors such that \(\vec{a}\times(\vec{b}\times\vec{c})=\frac{1}{2}\vec{b}\), \(\vec{b}\) and \(\vec{c}\) being non-parallel. If \(\theta_1\) is the angle between \(\vec{a}\) and \(\vec{b}\) and \(\theta_2\) is the angle between \(\vec{a}\) and \(\vec{c}\), then