The direction of an induced current in a conductor is determined by the direction of the changing magnetic field that is inducing the current, as well as the direction of the movement of the conductor through that field.
The direction of the induced current flow is determined by Lenz's Law, which states that the induced current will flow in such a direction as to oppose the change that induces it.
In other words, the induced current will flow in a direction that creates a magnetic field that opposes the change in the magnetic field that is inducing it. This is known as Lenz's Law and it's a fundamental principle of electromagnetic induction.
For example, if a conductor is moving in a direction perpendicular to a magnetic field, the induced current will flow in a direction that creates a magnetic field opposing the motion of the conductor. This is known as Faraday's Law of electromagnetic induction.
In summary, the direction of induced current flow is determined by Lenz's Law which states that the induced current will flow in such a direction as to oppose the change that induces it. It's a fundamental principle of electromagnetic induction that is based on the interaction between a magnetic field and the movement of a conductor.