# Real vector space

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Real vector space](https://ocme.evemisslab.com/en/atlas/atlas-real-vector-space/)

A real vector space has vector addition and real scalar multiplication, satisfying the additive abelian-group and compatible scalar-action axioms.

atlas-real-vector-space · canonical_mko

[Real vector space](https://ocme.evemisslab.com/en/mko/mko-real-vector-space/)

## Prerequisite nodes


- [Plane vectors in a fixed basis](https://ocme.evemisslab.com/en/atlas/atlas-vector/)
- [Real number](https://ocme.evemisslab.com/en/atlas/atlas-real-number/)
- [Arithmetic operations](https://ocme.evemisslab.com/en/atlas/atlas-arithmetic-operations/)