A) \[-\,\mathbf{i}+\mathbf{j}+\mathbf{k}\]
B) \[\mathbf{i}-\mathbf{j}+\mathbf{k}\]
C) \[\mathbf{i}+\mathbf{j}-\mathbf{k}\]
D) \[\mathbf{i}+\mathbf{j}+\mathbf{k}\]
Correct Answer: A
Solution :
\[\overrightarrow{AB}=\overrightarrow{CX}\Rightarrow \mathbf{j}-\mathbf{i}=\text{P}\text{.V}\text{.}\,\text{of}\,X-\mathbf{k}\Rightarrow \text{P}\text{.V}\text{.}\,\text{of}\,X=-\mathbf{i}+\mathbf{j}+\mathbf{k}\]
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