QJEEM22Mafdb4: JEE Main 2022 Physics - Class 11 JEEM22Mafdb4 Solution: Let   ,      and   …

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 _________.