A) \[4\sqrt{3}\]
B) \[6\sqrt{3}\]
C) \[8\sqrt{3}\]
D) \[16\sqrt{3}\]
Correct Answer: C
Solution :
\[\Delta =\,|\mathbf{a}\times \mathbf{b}|\,=\left| \,\left| \,\begin{matrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ 1 & 2 & 3 \\ 3 & -2 & 1 \\ \end{matrix}\, \right|\, \right|=\,|8\mathbf{i}+8\mathbf{j}-8\mathbf{k}|\,=8\sqrt{3}.\]
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