A) \[-\hat{j}+3\hat{k}\]
B) \[6\hat{i}-3\hat{j}+5\hat{k}\]
C) \[\hat{j}-3\hat{k}\]
D) \[\hat{i}-3\hat{j}+5\hat{k}\]
Correct Answer: B
Solution :
Given \[\overrightarrow{OA}\]\[\overrightarrow{OA}=3\hat{i}-2\hat{j}+4\hat{k}\] and \[\overrightarrow{AB}=3\hat{i}-\hat{j}+\hat{k}\] \[\because \] \[\overrightarrow{AB}=\overrightarrow{OB}-\overrightarrow{OA}\] \[\therefore \] \[\overrightarrow{OB}=\overrightarrow{AB}+\overrightarrow{OA}\] \[=3\hat{i}-\hat{j}+\hat{k}+3\hat{i}-2\hat{j}+4\hat{k}\] \[=6\hat{i}-3\hat{j}+5\hat{k}\]You need to login to perform this action.
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