if a plane was on a conveyer belt, matched to the speed of the plane but in the opposite direction, would it be able to take off?

No.

I wouldn't think so because I recall a law that if an equal yet opposite forces act on each other,it would cancel it out. Now the plane is a equal force and the belt is a equal force but opposite so thus it would cancel each other out thus making it stationary

yes, because the wheels do not drive the plane, thrust drives the plane

I got a good example to help understand this.

Think of the plane as a person and the belt as a treadmill. You're running the same speed as the belt is rotating. Do you move?
No.

See what I mean?

x2

wheel speed has nothing to do with air speed.

this has been asked and discussed on here before

the last time we had this discussion the post was locked by the big man himself.

do a search.

What about the concept of lift? I would assume the plane needs to get moving to get air under the wing and above the wing to take off?

Yep....

http://www.bonnevilleclub.com/forum/...829&highlight=

the point is that the plane WILL mover, because the wheels will just spin freely on the conveyor, meanwhile the engines will be exerting force pushing the plane forward