The linear velocity of a rotating body is given by \( \overrightarrow{\mathrm{v}}=\vec{\omega} \....
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The linear velocity of a rotating body is given by
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\( \overrightarrow{\mathrm{v}}=\vec{\omega} \times \overrightarrow{\mathrm{r}} \), where \( \omega \) is the angular velocity and \( \mathrm{r} \) is
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the radius vector. The angular velocity of a body \( \vec{\omega}=\hat{i}-2 \hat{j}+2 \hat{k} \) and their radius vector \( \overrightarrow{\mathrm{r}}=4 \hat{j}- \) \( 3 \hat{\mathrm{k}},|\overrightarrow{\mathrm{v}}| \) is -
(A) \( \sqrt{29} \) units
(B) 31 units
(C) \( \sqrt{37} \) units
(D) \( \sqrt{41} \) units
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