Question

A particle moving at a circle. If at an instant its linear velocity vector, angular velocity and position vector are $\overline{v},\overline{\omega }$ and $\overrightarrow{r}$ respectively then, the correct option is

• A. They are collinear vectors
• B. They are mutually perpendicular vectors
• C. They are coplanar vectors
• D. They are axial vectors

Answer 1

The correct option is B They are mutually perpendicular vectors

We know,

If $\overrightarrow{A}\times \overrightarrow{B}=\overrightarrow{C}$

$\overrightarrow{A},\overrightarrow{B},\overrightarrow{C}$ are mutually perpendicular vectors.

Also,

$\overrightarrow{r}\times \overrightarrow{v}=\overrightarrow{\omega }$

Hence, $\overrightarrow{r},\overrightarrow{v},\overrightarrow{\omega }$ are mutually perpendicular.

Option $\text{B}$ is the correct answer