What is the value of linear velocity,if vec o | vedclass

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Question

(B) The linear velocity $\vec v$ is given by the cross product of angular velocity $\vec \omega$ and position vector $\vec r$: $\vec v = \vec \omega \

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

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(B) The linear velocity $\vec v$ is given by the cross product of angular velocity $\vec \omega$ and position vector $\vec r$: $\vec v = \vec \omega 	imes \vec r$ $\vec v = \begin{vmatrix} \hat i & \hat j & \hat k \ 3 & -4 & 1 \ 5 & -6 & 6 \end{vmatrix}$ Expanding the determinant: $\vec v = \hat i((-4)(6) - (1)(-6)) - \hat j((3)(6) - (1)(5)) + \hat k((3)(-6) - (-4)(5))$ $\vec v = \hat i(-24 + 6) - \hat j(18 - 5) + \hat k(-18 + 20)$ $\vec v = -18\hat i - 13\hat j + 2\hat k$

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

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