# Definition
A **vector space** is a set with elements, often called vectors, that can be added together and multiplied by numbers called scalars. These vector spaces must hold [[Properties of a Vector Space|these properties]].

There are different types of **vector spaces** that can exists, some of them being
- Real Vector Spaces
- [[Complex Vector Space|Complex Vector Spaces]]
- [[Normed Vector Space|Normed Vector Spaces]]