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

Question

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

Professor PC Thomas Classes · Answer

(b) $: \vec{v}=\vec{\omega} 	imes \vec{r}=\left|\begin{array}{ccc}\hat{i} & \hat{j} & \hat{k} \ 5 & -6 & 6 \ 3 & -4 & 1\end{array}ight|=18 \hat{i}+13 \hat{j}-2 \hat{k}$\