# vector space

### noun Mathematics.

an additive group in which addition is commutative and with which is associated a field of scalars, as the field of real numbers, such that the product of a scalar and an element of the group or a vector is defined, the product of two scalars times a vector is associative, one times a vector is the vector, and two distributive laws hold.

## QUIZZES

#### THIS 5TH GRADE VOCABULARY QUIZ COVERS ALL THE BASICS

This teacher-developed 5th grade word list covers all the basics to prepare students for middle school.

Question 1 of 10

compact

Also called linear space.

## Origin of vector space

First recorded in 1940–45

## Words nearby vector space

vector field, vector font, vector function, vector graphic, vector product, vector space, vector sum, vectorcardiogram, vectorcardiography, vectorial, vecture

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

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## British Dictionary definitions for vector space

vector space

### noun

maths a mathematical structure consisting of a set of objects (vectors) associated with a field of objects (scalars), such that the set constitutes an Abelian group and a further operation, scalar multiplication, is defined in which the product of a scalar and a vector is a vectorSee also scalar multiplication

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for vector space

vector space

A set of generalized vectors and a field of scalars, together with rules for their addition and multiplication (the same rules used for ordinary vectors and scalars).

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.