Question

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

• 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. $6\hat{i}-2\hat{j}+8\hat{k}$

Answer 1

The correct option is B

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

$\overrightarrow{v}=\overrightarrow{\omega }\times \overrightarrow{r}=\left|\begin{array}{ccc}\hat{i}& \hat{j}& \hat{k}\\ 3& -4& 1\\ 5& -6& 6\end{array}\right|=-18\hat{i}-13\hat{j}+2\hat{k}$