A) \[2\hat{i}-6\hat{j}+10\hat{k}\]
B) \[-2\hat{i}+6\hat{j}-10\hat{k}\]
C) \[2\hat{i}+6\hat{j}-10\hat{k}\]
D) None of these
Correct Answer: B
Solution :
[b] If \[\vec{F}\] be the resultant force, then \[\vec{F}=2\hat{i}+4\hat{j}+2\hat{k}\] Also, \[\vec{r}=\overrightarrow{AP}=-\hat{i}+3\hat{j}+2\hat{k}\] \[\therefore \] required moment \[=\vec{r}\times \vec{F}=\left| \begin{matrix} {\hat{i}} & {\hat{j}} & {\hat{k}} \\ -1 & 3 & 2 \\ 2 & 4 & 2 \\ \end{matrix} \right|=-2\hat{i}+6\hat{j}-10\hat{k}\]You need to login to perform this action.
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