HarryC summed things up very well. Just as an added explanation, what causes the adverse yaw is the fact that there us usually (and this can vary tremendously from one design to another) more drag on the down aileron than the up aileron. This is caused by the down aileron being in clean air, while the up aileron is in the lower pressure area on top of the wing. For reasons I'm not sure of, the larger the plane the more noticible the adverse yaw will be in a turn. What is called aileron differential can help. The up aileron will have perhaps twice as much travel as the down aileron. This tends to equalize the drag on each wing allowing straighter tracking through turns. Although on my 117" span sailplane I have at least twice the up travel as down, I still have to use some rudder to keep the turn perfectly smooth. By the way, it's right rudder with a right turn and vice versa. As HarryC said, it's the elevator that keeps the nose up.