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Mathematical Answer (Geometry) - A plane is a flat, two-dimensional surface that extends infinitely. So a plane is like an unending piece of paper meaning that is goes on forever unlike a piece of paper that stops at a certain point.

Basic Answer - A plane is used for transportation and needs fuel. On the other hand, a piece of paper is not used for transportation nor does it need fuel.

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Q: What is the difference between a plane and a piece of paper?
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What do you need to fly a plane?

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