A) \[6\hat{i}-2\hat{j}+3\hat{k}\]
B) \[6\hat{i}-2\hat{j}+8\hat{k}\]
C) \[4\hat{i}-13\hat{j}+6\hat{k}\]
D) \[-18\hat{i}-13\hat{j}+2\hat{k}\]
Correct Answer: D
Solution :
\[\vec{v}=\vec{\omega }\times \vec{r}=\left| \,\begin{matrix} {\hat{i}} & {\hat{j}} & {\hat{k}} \\ 3 & -4 & 1 \\ 5 & -6 & 6 \\ \end{matrix}\, \right|\]\[=-18\hat{i}-13\hat{j}+2\hat{k}\]
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