Vector Algebra

Let three vectors \(\overrightarrow a\), \(\overrightarrow b\) and \(\overrightarrow c\) be such that \(\overrightarrow a \times \overrightarrow b = \overrightarrow c\), \(\overrightarrow b \times \overrightarrow c = \overrightarrow a\) and \(\left| {\overrightarrow a } \right| = 2\). Then which one of the following is not true?