plane
In everyday conversation, "plane" is most commonly used as a short form of "airplane." While both are correct, "plane" is more informal and frequent in spoken English. When referring to the tool or the mathematical surface, it is always "plane." Be careful not to confuse this with "plain," which refers to a flat area of land or something simple/unadorned; they sound exactly the same but have different meanings.
💬Casual Conversation
Just touched down. Did you circle back on that plane ticket for the Vegas summit?
Still waiting on your approval. I'm totally swamped.
Meanings
A flat surface on which a straight line joining any two adjacent points on it would always be contained within the surface.
"The map represents the Earth's curved surface as a flat plane."
An airplane; a powered flying vehicle with fixed wings.
"We booked our tickets on a plane to Tokyo."
A tool used for smoothing the surface of wood.
"He used a hand plane to level the edge of the board."
A level of existence, thought, or development.
"The meditation was intended to lift the practitioner to a higher spiritual plane."