A) \[5\sqrt{3}\]
B) \[10\sqrt{3}\]
C) \[5\sqrt{6}\]
D) \[10\sqrt{6}\]
Correct Answer: C
Solution :
Required area = \[\left| \,\left| \,\begin{matrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ 1 & -2 & 3 \\ 2 & 1 & -4 \\ \end{matrix} \right|\, \right|\,\] \[=|5\mathbf{i}+10\mathbf{j}+5\mathbf{k}|\,=\sqrt{150}=5\sqrt{6}\].
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