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scalar product

algebraic operation that takes two equal-length sequences of numbers
Thing general Q181365
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Summary

scalar product ranks in the top 0.62% of general entities by monthly Wikipedia readership (14,609 views/month, #480 of 77,819).[1]

Key Facts

  • Subclass of: binary operation[2], vector multiplication[3], inner product[4]
  • Commons category: Scalar product[5]
  • Described by source: ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[6], mathisfun.com[7], University of Arizona Department of Mathematics[8], Math Insight[9], Harvard University Department of Mathematics[10]
  • Different from: inner product space[11]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[12]
  • Maintained by WikiProject: WikiProject Mathematics[13]

Why It Matters

scalar product has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[14] It is known by 93 alternative names across languages and contexts.[15]

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . MathWorld. wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.
  12. [13] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] ↑ . Wikidata sitelinks. wikidata.org.
  3. [15] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). scalar product. Retrieved October 14, 2026, from https://4ort.xyz/entity/scalar-product
MLA “scalar product.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 2026, https://4ort.xyz/entity/scalar-product.
BibTeX @misc{4ortxyz_scalar-product_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{scalar product}}, year = {2026}, url = {https://4ort.xyz/entity/scalar-product}, note = {Accessed: 2026-10-14}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): scalar product — https://4ort.xyz/entity/scalar-product (retrieved 2026-10-14)

Canonical URL: https://4ort.xyz/entity/scalar-product · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 12d ago · MatSuBot bot · 2026-10-04 view diff on Wikidata ↗
    Wikipedia languages → ['am', 'ar', 'ast', 'az', 'ba', 'be', 'bg', 'bn', 'bs', 'ca', 'ckb', 'commons',
    Claims rich → —
    "/* wbeditentity-update-languages-short:0||my, no, nb */ import labels from sitelinks; cleanup"
  2. 5w ago · VGMaintenanceBot bot · 2026-09-08 view diff on Wikidata ↗
    Described by source → ISO 80000-2:2019 Quantities and units — Part 2: Mathematics, mathisfun.com, University of Arizona Department of Mathematics +2
    "/* wbsetqualifier-add:1| */ Mediawiki page id: 3854, Add qualifier to Rosetta Code page ID `Dot_product`"
  3. 10w ago · AddyLockPool · 2026-08-05 view diff on Wikidata ↗
    Defining formula → \boldsymbol{a} \cdot \boldsymbol{b} = \sum_i a_i b_i, \mathbf{a}\cdot\mathbf{b}=ab\,\cos\,\theta
    In defining formula → \boldsymbol{a} \cdot \boldsymbol{b}, a_i, \boldsymbol{a} +5
    Described by source → ISO 80000-2:2019 Quantities and units — Part 2: Mathematics, mathisfun.com, University of Arizona Department of Mathematics +2
    "/* wbsetclaim-create:2||1 */ Described by source: mathisfun.com"
  4. 18w ago · AddyLockPool · 2026-06-10 view diff on Wikidata ↗
    Defining formula → \boldsymbol{a} \cdot \boldsymbol{b} = \sum_i a_i b_i, \mathbf{a}\cdot\mathbf{b}=ab\,\cos\,\theta
    "/* wbsetclaim-create:2||1 */ Defining formula: \mathbf{a}\cdot\mathbf{b}=ab\cos{\theta}"
  5. 18w ago · AddyLockPool · 2026-06-07 view diff on Wikidata ↗
    Brilliant wiki id → dot-product-definition
    "/* wbsetclaim-create:2||1 */ Brilliant wiki id: dot-product-definition"
  6. 21w ago · Infovarius · 2026-05-17 view diff on Wikidata ↗
    Aliases → —
    Different from → inner product space
    Described by source → ISO 80000-2:2019 Quantities and units — Part 2: Mathematics, mathisfun.com, University of Arizona Department of Mathematics +2
    Maintained by wikiproject → WikiProject Mathematics
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update-languages-short:0||nb, no */ via [[:w:ru:ВП:WE-F|WE-Framework gadget]] from wikidatawiki"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.