Magnets exert forces on other magnets even though they are separated by some distance. Usually the force on a magnet (or piece of magnetized matter) is pictured as the interaction of that magnet with the magnetic field at its location (the field being generated by other magnets or currents). More fundamentally, the force arises from the interaction of individual moving charges within a magnet with the local magnetic field. This force is written F⃗ =qv⃗ ×B⃗ F→=qv→×B→, where F⃗ F→F_vec is the force, qqq is the individual charge (which can be negative), v⃗ v→v_vec is its velocity, and B⃗ B→B_vec is the local magnetic field.