Angular Momentum like linear momentum is a vector. Direction is important!
The Direction of Angular Momentum Because the direction of something rotating is hard to determine, physicists say that the direction of angular momentum is in the plane of the rotation. If this wheel was rotating, we would say its angular momentum is pointed in this direction. So it would want to stay rotating in that direction.
Examples of Angular Momentum So next time you play: Remember you are just conserving angular momentum. - Football - Frisbee - Ride your bike