Answer:
Torque, [tex]\tau=3i+2j+4k[/tex]
Explanation:
Given that,
Position of the flea, [tex]r=(-2i+j+k)\ m[/tex]
Force acting on the flea, [tex]F=(-2j+k)\ N[/tex]
We need to find the net torque about the origin on a flea located at coordinates. Its formula is given by :
[tex]\tau=r\times F[/tex]
[tex]\tau=(-2i+j+k) \times (-2j+k)[/tex]
On solving the cross product of r and F, we get :
[tex]\tau=3i+2j+4k[/tex]
So, the net torque about the origin on a flea is [tex]3i+2j+4k[/tex]. Hence, this is the required solution.