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scalar multiplication

binary operation; one of the basic operations defining a vector space
Class type of: multiplication, vector multiplication Q126736

Facts

7 properties
Instance of
external binary operation
Subclass of
multiplication, vector multiplication[2][3]
Facet of
vector space[4]
Defining formula
(x \boldsymbol{a})_i = x a_i[6]
Described by source
ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[5]
In defining formula
x \boldsymbol{a}, a_i, x, \boldsymbol{a}[8][9][10][11]
Maintained by WikiProject
WikiProject Mathematics[7]
🏷️ Also known as
en scalar multiplication cs násobení skalárem de skalare Multiplikation de Skalarmultiplikation de S-Multiplikation el Bαθμωτός πολλαπλασιασμός es multiplicación escalar fa ضرب اسکالر fr multiplication par un scalaire he כפל בסקלר id Perkalian skalar it moltiplicazione scalare ja スカラー倍 ja スカラー乗法 ja スカラー乗算 ko 스칼라배 ms Pendaraban skalar nl scalaire vermenigvuldiging pl iloczyn wektora przez skalar pl mnożenie przez skalar
🔖 Identifiers · 6
OpenAlex ID
C171182647
Encyclopædia Britannica Online ID
topic/scalar-multiplication
Freebase ID
/m/01kdmk
JSTOR topic ID (archived)
scalar-multiplication
MathWorld ID
ScalarMultiplication
Microsoft Academic ID (discontinued)
171182647

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🔗 Connections
Subclass of 2
multiplication, vector multiplication
Belongs to 1
vector space
Facet of 1
vector space
Maintained by WikiProject 1
WikiProject Mathematics
← FactGrid item ID 1
Obergailbach
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Summary

scalar multiplication is an external binary operation[1].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). scalar multiplication. Retrieved November 6, 2026, from https://4ort.xyz/entity/scalar-multiplication
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BibTeX @misc{4ortxyz_scalar-multiplication_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{scalar multiplication}}, year = {2026}, url = {https://4ort.xyz/entity/scalar-multiplication}, note = {Accessed: 2026-11-06}}
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