Vector Algebra

If \(\bar{a}, \bar{b}, \bar{c}\) are three vectors such that \(|\bar{a}+\bar{b}+\bar{c}|=1, \overline{\mathrm{c}}=\lambda(\overline{\mathrm{a}} \times \overline{\mathrm{b}})\) and \(|\overline{\mathrm{a}}|=\frac{1}{\sqrt{3}},|\overline{\mathrm{b}}|=\frac{1}{\sqrt{2}},|\overline{\mathrm{c}}|=\frac{1}{\sqrt{6}}\), then the angle between \(\bar{a}\) and \(\bar{b}\) is