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

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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{\omeg

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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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