Torque and vector position....

[physics user1]

The torque is the cross product with a position vector (that is the lever lenght) and a force

But i the is torque also if there isn't a lever? I mean an instantaneus torque that is different in each point we consider it like in the photo

It is also a torque even if something doesn't rotate?

In lecture I have seen that the momentum can be like that

 

[A.T.]

But i the is torque also if there isn't a lever?

It is also a torque even if something doesn't rotate?

Yes and yes.