Question
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 _________.
Correct Answer
BONUS