Let vec{F} be the force acting on a particle | vedclass

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Question

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

Vedclass · Accepted Answer

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

Vedclass · Answer

(A) The torque $\vec{T}$ is defined as the cross product of the position vector $\vec{r}$ and the force vector $\vec{F}$,given by $\vec{T} = \vec{r} 	imes \vec{F}$.By the definition of the cross product,the resulting vector $\vec{T}$ is always perpendicular to the plane containing the vectors $\vec{r}$ and $\vec{F}$.Since $\vec{T}$ is perpendicular to $\vec{r}$,their dot product must be zero: $\vec{r} \cdot \vec{T} = 0$.Similarly,since $\vec{T}$ is perpendicular to $\vec{F}$,their dot product must be zero: $\vec{F} \cdot \vec{T} = 0$.

Let $\vec{F}$ be the force acting on a particle having position vector $\vec{r}$ and $\vec{T}$ be the torque of this force about the origin. Then:

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