# 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.

## Origin of vector space

First recorded in 1940–45

Also called linear space.

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## vector space

### noun

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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## vector space

The American Heritage® Science Dictionary
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