Let a force act on a body free to rotate about point

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

Let a force

\mathbf{F}

act on a body free to rotate about point

O

, and let

\mathbf{r}

be the position vector of any point

P

on the line of action of the force. The torque

\boldsymbol{\tau}

of this force about point

O

is defined as

\boldsymbol{\tau}=\mathbf{r}\times\mathbf{F}

. Given

\mathbf{F}=(2\hat{i}+3\hat{j}-\hat{k})\text{ N}

and

\mathbf{r}=(\hat{i}-\hat{j}+6\hat{k})\text{ m}

, find the torque of this force.