Vector Algebra

Let \(\overrightarrow a\) and \(\overrightarrow b\) be the vectors along the diagonals of a parallelogram having area \(2\sqrt 2\). Let the angle between \(\overrightarrow a\) and \(\overrightarrow b\) be acute, \(|\overrightarrow a | = 1\), and \(|\overrightarrow a \,.\,\overrightarrow b | = |\overrightarrow a \times \overrightarrow b |\). If \(\overrightarrow c = 2\sqrt 2 \left( {\overrightarrow a \times \overrightarrow b } \right) - 2\overrightarrow b\), then an angle between \(\overrightarrow b\) and \(\overrightarrow c\) is :