# vector space

(redirected from*Real vector space*)

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## vector space

*n.*

A system consisting of a set of generalized vectors and a field of scalars, having the same rules for vector addition and scalar multiplication as physical vectors and scalars.

## vector space

*n*

(Mathematics)

*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 vector. See also scalar multiplicationWant to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

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