A) \[\hat{i}+\hat{j}-2\hat{k}\]
B) \[-\hat{i}+\hat{j}-2\hat{k}\]
C) \[3\hat{i}+3\hat{j}-4\hat{k}\]
D) None of these
Correct Answer: B
Solution :
[b] \[\overrightarrow{OA}=\hat{i}-\hat{j}+2\hat{k},\overrightarrow{OB}=2\hat{i}+\hat{j}-\hat{k}\] \[\therefore \,\overrightarrow{OC}=\overrightarrow{AB}=\overrightarrow{OB}-\overrightarrow{OA}=\hat{i}+2\hat{j}-3\hat{k}\] \[\therefore \overrightarrow{BC}=\overrightarrow{OC}-\overrightarrow{OB}=(\hat{i}+2\hat{j}-3\hat{k})-(2\hat{i}+\hat{j}-\hat{k})\] \[=-\hat{i}+\hat{j}-2\hat{k}\]You need to login to perform this action.
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