A) 8
B) 10
C) 4
D) 14
Correct Answer: C
Solution :
Here, \[\overrightarrow{OA}=2\mathbf{i}-3\mathbf{j}=\mathbf{a}\] (say) \[\overrightarrow{OB}=\mathbf{i}+\mathbf{j}-\mathbf{k}=\mathbf{b}\,\](say) and \[\overrightarrow{OC}=3\mathbf{i}-\mathbf{k}=\mathbf{c}\] (say) Hence volume is \[[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]=\mathbf{a}.\,(\mathbf{b}\times \mathbf{c})=\left| \begin{matrix} 2 & -3 & 0 \\ 1 & 1 & -1 \\ 3 & 0 & -1 \\ \end{matrix} \right|=4\].You need to login to perform this action.
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