Vector Algebra

Let \(\overrightarrow a = \widehat i + \widehat j + \widehat k\) and \(\overrightarrow b = \widehat j - \widehat k\). If \(\overrightarrow c\) is a vector such that \(\overrightarrow a \times \overrightarrow c = \overrightarrow b\) and \(\overrightarrow a .\overrightarrow c = 3\), then \(\overrightarrow a .(\overrightarrow b \times \overrightarrow c )\) is equal to :