In the last 10 years or so, this information has been mostly eviscerated. Michael Faraday discovered this information on his own. For over a century the rule to follow was called the left hand rule. Please bare in mind that the charge on an electron is variable. It can be given a positive charge thus allowing it to escape its bond to an atom. An electron will naturally return to its native state by giving up the positive energy imparted to it. In the left hand rule, the electrons usually returning to ground would be the direction your thumb points. The fingers in the left hand curled around denote the direction of the magnetic field. The right hand rule is used for the proton moving in the direction of an electric field in free space. The magnetic field direction denoted by the curled fingers on the right hand.
There is no 3 direction description provided by Faraday. If you come across a 3 direction description, just consider it to be bullshit.