Among the given options, the law of electromagnetism that does not give the direction of the magnetic field is Faraday`s law of electromagnetic induction (option 4). This law, discovered by Michael Faraday, states that a change in the magnetic field through a closed circuit induces an electromotive force (EMF) in the circuit, which in turn causes an electric current to flow.

Faraday`s law focuses on the relationship between magnetic fields and the production of electric currents. It explains how an EMF is induced in a conductor when there is a change in the magnetic flux passing through the surface bounded by the conductor. However, this law does not provide any information about the direction of the magnetic field.

On the other hand, options 1, 2, and 3 (Right-hand thumb rule, Fleming`s left-hand rule, and Fleming`s right-hand rule) are all rules that help determine the direction of the magnetic field in different scenarios. The right-hand thumb rule is commonly used to find the direction of the magnetic field around a current-carrying wire. Fleming`s left-hand rule is used to determine the direction of the force acting on a current-carrying conductor placed in a magnetic field, while Fleming`s right-hand rule gives the direction of the