Q. What is the value of linear velocity, if $\overrightarrow{\omega} = 3\widehat{i} - 4\widehat{j} + \widehat{k}$ and $\overrightarrow{r} = 5\widehat{i} - 6\widehat{j} + 6\widehat{k}$
A) $6\widehat{i} + 2\widehat{j} - 3\widehat{k}$
B) $- 18\widehat{i} - 13\widehat{j} + 2\widehat{k}$
C) $4\widehat{i} - 13\widehat{j} + 6\widehat{k}$
D) $6\widehat{i} - 2\widehat{j} + 2\widehat{k}$
Explanation
(b) $\overrightarrow{v} = \overrightarrow{\omega} \times \overrightarrow{r} = \left| \begin{matrix}
\widehat{i} & \widehat{j} & \widehat{k} \\
3 & - 4 & 1 \\
5 & - 6 & 6
\end{matrix} \right| = - 18\widehat{i} - 13\widehat{j} + 2\widehat{k}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.