If vec{F} is the force acting on a particle h | vedclass

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(D) The torque $\vec{	au}$ is defined as the cross product of the position vector $\vec{r}$ and the force vector $\vec{F}$,given by $\vec{	au} = \ve

Vedclass · Accepted Answer

$\vec{r} \cdot \vec{	au} = 0$ and $\vec{F} \cdot \vec{	au} = 0$

Vedclass · Answer

(D) The torque $\vec{	au}$ is defined as the cross product of the position vector $\vec{r}$ and the force vector $\vec{F}$,given by $\vec{	au} = \vec{r} 	imes \vec{F}$.By the definition of the cross product,the resulting vector $\vec{	au}$ is always perpendicular to both the vectors $\vec{r}$ and $\vec{F}$ that form it.Since the dot product of two perpendicular vectors is always zero,we have $\vec{r} \cdot \vec{	au} = 0$ and $\vec{F} \cdot \vec{	au} = 0$.

If $\vec{F}$ is the force acting on a particle having position vector $\vec{r}$ and $\vec{\tau}$ is the torque of this force about the origin,then

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