Concept:
Magnetic field lines are imaginary lines that represent the direction and strength of a magnetic field around a magnet.
Step 1: Understand the direction of magnetic field.
At every point in a magnetic field, the magnetic field has only one unique direction.
The tangent drawn to a magnetic field line at any point gives the direction of the magnetic field at that point.
Step 2: Consider intersection of field lines.
Suppose two magnetic field lines intersect at a point.
Then two tangents can be drawn at that point, giving two different directions of magnetic field at the same location.
This is physically impossible because magnetic field at a point cannot have two directions simultaneously.
Step 3: State the conclusion.
Therefore, magnetic field lines:
\[
\boxed{\text{Never intersect each other}}
\]
Hence, the correct option is (3).