The Answer is yes. the Right hand rule, is a rule that can not be broken & must obey the law of Physics. So therefore the right hand rule does apply.

The right-hand rule is used in physics to determine the direction of a magnetic field, current, or force in a moving conductor. To use the right-hand rule, point your right thumb in the direction of the current or movement, your fingers curled in the direction of the magnetic field, then your palm would face the direction of the force. The right-hand rule helps establish the relationship between these three factors in electromagnetism.

There are mainly three types of right hand rules: the right-hand rule for magnetic fields (used to determine the direction of magnetic force on a moving charged particle), the right-hand rule for magnetic fields around a current-carrying wire (used to determine the direction of the magnetic field around a current-carrying wire), and the right-hand rule for rotating systems (used to determine the direction of angular velocity vector in rotating systems).

Fleming's right hand rule.

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