A) \[F\,(\mathbf{\hat{i}}-\mathbf{\hat{j}})\]
B) \[-F\,(\mathbf{\hat{i}}+\mathbf{\hat{j}})\]
C) \[F\,(\mathbf{\hat{i}}+\mathbf{\hat{j}})\]
D) \[-F\,(\mathbf{\hat{i}}-\mathbf{\hat{j}})\]
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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