A) \[\sqrt{29}\]units
B) \[\sqrt{31}\]units
C) \[\sqrt{37}\]units
D) \[\sqrt{41}\]units
Correct Answer: A
Solution :
\[\vec{v}=\vec{\omega }\times \vec{r}\]\[=\left| \begin{matrix} {\hat{i}} & {\hat{j}} & {\hat{k}} \\ 1 & -2 & 2 \\ 0 & 4 & -3 \\ \end{matrix} \right|=\hat{i}(6-8)-\hat{j}(-3)+4\hat{k}\] \[-2\vec{i}+3\vec{j}+4\vec{k}\] \[|\vec{v}|\ =\ \sqrt{{{(-2)}^{2}}+{{(3)}^{2}}+{{4}^{2}}}\]\[=\sqrt{29}\ unit\]You need to login to perform this action.
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