Vector Algebra

Let \(\overrightarrow a\), \(\overrightarrow b\) and \(\overrightarrow c\) be three vectors such that \(\overrightarrow a\) = \(\overrightarrow b\) \(\times\) (\(\overrightarrow b\) \(\times\) \(\overrightarrow c\)). If magnitudes of the vectors \(\overrightarrow a\), \(\overrightarrow b\) and \(\overrightarrow c\) are \(\sqrt 2\), 1 and 2 respectively and the angle between \(\overrightarrow b\) and \(\overrightarrow c\) is \(\theta \left( {0 < \theta < {\pi \over 2}} \right)\), then the value of 1 + tan\(\theta\) is equal to :