All books

Professional

Apps About Coach Log in Start reading

Mathematics · Glossary

What is Plane?

Definition 31.4 High School Mathematics · Chapter 31 — Vectors, Lines and Planes in Space

The plane through AA directed by two non-collinear vectors u⃗,v⃗\vec u, \vec v is the set of points MM with AM→=su⃗+tv⃗\vect{AM} = s\vec u + t\vec v, (s,t)∈R2(s, t) \in \R^2.

Left: the line through A with direction u, graduated by the parameter t. Right: the plane through A directed by u and v; every point M of the plane is reached as AM = s u + t v. Left: the line through A with direction u, graduated by the parameter t. Right: the plane through A directed by u and v; every point M of the plane is reached as AM = s u + t v.
Left: the line through AA with direction u⃗\vec u, graduated by the parameter tt. Right: the plane through AA directed by u⃗\vec u and v⃗\vec v; every point MM of the plane is reached as AM→=su⃗+tv⃗\vect{AM} = s\vec u + t\vec v.
Read in context →

Related terms