A) \[F\left( \widehat{i}-\widehat{j} \right)\]
B) \[-F\left( \widehat{i}+\widehat{j} \right)\]
C) \[F\left( \widehat{i}+\widehat{j} \right)\]
D) \[-F\left( \widehat{i}-\widehat{j} \right)\]
Correct Answer: C
Solution :
\[\overrightarrow{\tau }=\overrightarrow{r}\times \overrightarrow{F}\] \[\overrightarrow{\tau }=(\hat{i}-\hat{j})\times (-F\,\hat{k})\] \[=F[(-\hat{i}\times \hat{k})+(\hat{j}\times \hat{k})]\] \[=F\,[\hat{j}+\hat{i}]=F\,[\hat{i}+\hat{j}]\]You need to login to perform this action.
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