A) \[7\hat{i}+2\hat{j}-2k\]
B) \[-7\hat{i}-2\hat{j}+\text{ }2\hat{k}\]
C) \[3\hat{i}-\hat{j}-\hat{k}\]
D) \[-4\hat{i}-3\hat{j}+2\hat{k}\]
Correct Answer: A
Solution :
Given, \[\overrightarrow{OA}=4\hat{i}+3\hat{j}-\hat{k}\] \[\overrightarrow{OB}=-3\hat{i}+\hat{j}+\hat{k}\] \[\therefore \] \[\overrightarrow{AB}=\overrightarrow{OB}-\overrightarrow{OA}\] \[=-7\hat{i}-2\hat{j}+2\hat{k}\] \[\therefore \] \[\overrightarrow{DE}=-\overrightarrow{AB}=7\hat{i}+2\hat{j}-2\hat{k}\]You need to login to perform this action.
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