A) \[2\mathbf{i}+2\mathbf{j}-\mathbf{k}\]
B) \[6\mathbf{i}-3\mathbf{j}+2\mathbf{k}\]
C) \[\mathbf{i}-10\mathbf{j}-18\mathbf{k}\]
D) \[\mathbf{i}+\mathbf{j}+\mathbf{k}\]
Correct Answer: C
Solution :
\[\left| \,\begin{matrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ 2 & 2 & -1 \\ 6 & -3 & 2 \\ \end{matrix}\, \right|=\mathbf{i}-10\mathbf{j}-18\mathbf{k}.\]
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