Usually means: Assigns vectors to points in space.
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We found 12 dictionaries that define the word vector field:

General (8 matching dictionaries)
  1. vector field: Merriam-Webster
  2. vector field: Oxford Learner's Dictionaries
  3. vector field: Collins English Dictionary
  4. vector field: Wiktionary
  5. vector field: Infoplease Dictionary
  6. vector field: Dictionary.com
  7. Vector Field, Vector field: Wikipedia, the Free Encyclopedia
  8. vector field: TheFreeDictionary.com

Computing (1 matching dictionary)
  1. Vector-field, vector field: Encyclopedia

Science (2 matching dictionaries)
  1. Vector Field: Eric Weisstein's World of Mathematics
  2. vector field: PlanetMath Encyclopedia

Tech (1 matching dictionary)
  1. Glossary of Meteorology (No longer online)

Definitions from Wiktionary (vector field)

noun:  (mathematics) a function mapping a subset of ℝⁿ into a subset of ℝⁿ
noun:  (differential geometry) a function which associates, to each point on a surface, a vector in the tangent plane of that point

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