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Normal Vector -- from the MathWorld Classroom

TOPICS Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld Normal Vector


A normal vector is a vector perpendicular to a surface.

Normal vector is a high school-level concept that would be first encountered in a pre-calculus course covering vectors.

Prerequisites Perpendicular: Two lines, vectors, planes, etc. that intersect at a right angle are said to be perpendicular. Plane: A plane is a two-dimensional surface defined by linear equations. Vector: (1) In vector algebra, a vector mathematical entity that has both magnitude (which can be zero) and direction. (2) In topology, a vector is an element of a vector space.
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