# vector: Vector Analysis and Vector Space

### Vector Analysis and Vector Space

The components of a vector need not be constants but can also be variables and functions of variables. For example, the position of a body moving through space can be described by a vector whose

The more general extension of vectors leads to the concept of a vector space. A vector space is a set of elements,

#### Sections in this article:

- Introduction
- Vector Analysis and Vector Space
- Addition and Multiplication of Vectors
- Representation and Reference Systems
- Bibliography

*The Columbia Electronic Encyclopedia,* 6th ed. Copyright © 2024, Columbia University Press. All rights reserved.

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