The direction of the magnetic field at a given point can be defined as the direction that the north pole of a compass needle would point if placed at that point. The figure below shows how thin iron fillings (acting like tiny magnets) reveal the magnetic field lines by lining up like the compass needles.
source: google.com
In the figure below the magnetic field determined in this way for the
field surrounding a bar magnet.
source: google.com
Notice toward the south pole of a magnet (the north pole of a magnetic compass needle is attracted to the south pole of the magnet).
Magnetic field lines continue inside a magnet. Indeed, given the lack of single magnetic poles, magnetic field lines always form closed loops, unlike electric field lines that begin on positive charges and end on negative charges.
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