---
tag: 0299VCW1TH
kind: concept
name: Vector field
aliases: [vector-field-on-rn]
msc: [26B12]
uses: [018GTRS7A4, 0XPR1E85W0]
sources:
  - url: https://en.wikipedia.org/wiki/Vector_field
    locator: Vector fields on subsets of Euclidean space
same_as:
  wikidata: Q186247
  wikipedia: Vector field
---

## Summary

A vector field on a subset of $\mathbb{R}^n$ assigns a vector of $\mathbb{R}^n$ to each point of the subset.
It models quantities with a direction and a size at each point, such as the velocity of a fluid or a force field.