Vector Algebra

Let  \(\overrightarrow a = \widehat i - 2\widehat j + 3\widehat k\),   \(\overrightarrow b = \widehat i + \widehat j + \widehat k\)   and   \(\overrightarrow c\)   be a vector such that   \(\overrightarrow a + \left( {\overrightarrow b \times \overrightarrow c } \right) = \overrightarrow 0\)   and   \(\overrightarrow b \,.\,\overrightarrow c = 5\). Then the value of   \(3\left( {\overrightarrow c \,.\,\overrightarrow a } \right)\)   is equal to _________.