A current is a crowd of moving charges
Put a whole current in a field and every moving charge in it gets the same sideways shove — added up, that is the motor effect: , read aloud F equals B I L sine theta. is the force on the wire in newtons; is the field in teslas; is the current in amperes; is the length of wire actually inside the field, in metres — not the length of the whole wire, and examiners know you know that; and is the angle between the wire and the field lines, with the same sine as before.
Two parallel wires need no external magnet at all: each one sits in the field the other makes, so they push on each other. . Here and are the two currents in amperes (the subscripts only number the wires, no order implied), is the length of the parallel run in metres, is the separation between them in metres, and is the permeability of free space, . Learn the tidy consequence and you can do these in your head: exactly.
Direction, in one line: currents running the SAME way attract, opposite ways repel — the opposite of what charges do, and worth saying out loud twice. And read the question before you answer it: force PER METRE and force on the WHOLE run differ by a factor of , and that is the single most reliable mark lost on this page.