Final answer:
Using the right-hand rule, the magnetic field at point P, located to the south of a vertical wire carrying current into the page, would be directed to the west.
Step-by-step explanation:
The direction of the magnetic field created by an electric current can be determined using the right-hand rule. For a vertical wire carrying an electric current into the page at the location of point P, which is to the south of the wire, one would point the thumb of the right hand in the direction of the current (into the page), and the curl of the fingers shows the direction of the magnetic field around the wire.
Therefore, at point P, the direction of the magnetic field would be to the west.
The direction of the magnetic field at point P, located to the south from the wire, would be west (option b).
This can be determined using the right-hand rule. If the wire is carrying current into the page, the magnetic field lines around the wire would form concentric circles. Using the right-hand rule, if you curl the fingers of your right hand in the direction of the current, your thumb would point in the direction of the magnetic field. In this case, the thumb would point towards the west.
Therefore, the correct answer is option b: West.