In cases where the force and displacement are not aligned, only the component of the force in the direction of displacement contributes to the work done.

No, work only has magnitude and no direction. It is a scalar quantity determined by the magnitude of the force and the distance moved.

The work done (W) is equal to the magnitude of the force (F) multiplied by the distance moved in the direction of the force (s), expressed as W = F * s.

In science, work is defined as the product of the force applied on an object and the distance moved by the object in the direction of the force.

Yes, if the bullock applies force to the cart and causes it to move, meeting both conditions, then work is done in this situation.