Which rule allows the direction of force on a current-carrying wire to be determined?

The correct choice for determining the direction of force on a current-carrying wire is the right-hand palm rule. This rule helps visualize the relationship between the magnetic field, the current, and the force acting on the wire. According to this rule, you extend your right hand with your thumb pointing in the direction of the current, and your fingers pointing in the direction of the magnetic field. The force exerted on the wire can be determined by the direction in which your palm pushes, which is perpendicular to both the current and the magnetic field.

The right-hand grip rule, while related, is mainly used for visualizing the direction of the magnetic field around a current-carrying conductor rather than directly resolving the force on a wire. Fleming's left-hand rule, often employed in the context of motors, is another useful mnemonic for determining the direction of force, current, and magnetic field, but it applies specifically to the motion of charged particles rather than the general case of a current-carrying wire in a magnetic field.