Let a =2 i +3 j +3 k and b =6 i +3 j +3 k. Then the square of the area of the triangle with adjacent sides determined by the vectors (2 a +3 b ) and…

Let $\displaystyle \overrightarrow{\mathrm{a}}=2 \hat{i}+3 \hat{j}+3 \hat{k}$ and $\displaystyle \overrightarrow{\mathrm{b}}=6 \hat{i}+3 \hat{j}+3 \hat{k}$. Then the square of the area of the triangle with adjacent sides determined by the vectors $\displaystyle (2 \overrightarrow{\mathrm{a}}+3 \overrightarrow{\mathrm{~b}})$ and $\displaystyle (\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}})$ is :