Value of linear velocity, if vec omega = 3hat{i} - 4hat{j} + hat{k} and vec r = 5hat{i}

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3-2.Motion in Plane

easy

What is the value of linear velocity, if $\vec \omega = 3\hat i - 4\hat j + \hat k$ and $\vec r = 5\hat i - 6\hat j + 6\hat k$

A$6\hat i + 2\hat j - 3\hat k$

B$ - 18\hat i - 13\hat j + 2\hat k$

C$4\hat i - 13\hat j + 6\hat k$

D$6\hat i - 2\hat j + 8\hat k$

Solution

(b)$\overrightarrow v = \overrightarrow \omega \times \overrightarrow r = \left| {\begin{array}{*{20}{c}}{\hat i}&{\hat j}&{\hat k}\\3&{ – 4}&1\\5&{ – 6}&6\end{array}} \right| = – 18\hat i – 13\hat j + 2\hat k$

Standard 11

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What is the value of linear velocity, if $\vec \omega = 3\hat i - 4\hat j + \hat k$ and $\vec r = 5\hat i - 6\hat j + 6\hat k$

Solution

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