CALCULUS Understanding Its Concepts and Methods

Plane in space

A plane in space is determined by a point in the plane and a vector that is perpendicular to the plane. Equations of the plane through the point perpendicular to the vector may be written in the following forms:

Parametric equations: (If and , let and solve for , etc.)

A plane is also determined by a point and two vectors and that lie in the plane but that are not parallel to each other.

Vector form:

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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.