

Vectors
Details

- A valid dimension specification d in Vectors[d,dom] is any positive integer. It is also possible to work with symbolic dimension specifications.
- A valid component domain specification dom in Vectors[d,dom] is either Reals or Complexes.
- The domain Vectors[d] is automatically converted into Vectors[d,Complexes].
Examples
open all close allBasic Examples (1)
Scope (3)
Applications (4)
Properties & Relations (3)
Vectors can also be defined using Arrays with rank 1. These two assumptions are equivalent:
Possible Issues (4)
Addition of symbolic and explicit vectors is determined by the Listable attribute of Plus:
Hence, listability will in general affect operations that simultaneously involve both symbolic and explicit vectors.
The zero vector may be represented as 0 in symbolic computations:

{} is interpreted in a special way in Element, such that it returns True irrespectively of the domain used:
See Also
Tech Notes
Related Guides
History
Text
Wolfram Research (2012), Vectors, Wolfram Language function, https://reference.wolfram.com/language/ref/Vectors.html.
CMS
Wolfram Language. 2012. "Vectors." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Vectors.html.
APA
Wolfram Language. (2012). Vectors. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Vectors.html
BibTeX
@misc{reference.wolfram_2025_vectors, author="Wolfram Research", title="{Vectors}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/Vectors.html}", note=[Accessed: 07-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_vectors, organization={Wolfram Research}, title={Vectors}, year={2012}, url={https://reference.wolfram.com/language/ref/Vectors.html}, note=[Accessed: 07-August-2025]}