Question

Let $\overrightarrow a=\overrightarrow i+2\overrightarrow j+3 \overrightarrow k$ and $\overrightarrow b= \overrightarrow i+ \overrightarrow j - \overrightarrow k$ . If $\overrightarrow c$ is a vector such that $\overrightarrow a. \overrightarrow c=11,\overrightarrow b.(\overrightarrow a.\overrightarrow c)=27$ and $\overrightarrow b. \overrightarrow c=-\sqrt{3}|b|,$ then $|\overrightarrow a \times \overrightarrow c|^2$ is equal to _______ .

Answer 1

The Answer is 285