cross product

mathematical operation on two vectors giving a vector as result
Thing general Q178192
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cross product

Summary

cross product ranks in the top 0.77% of general entities by monthly Wikipedia readership (1,345 views/month, #603 of 77,819).[1]

Key Facts

  • cross product's subclass of is recorded as binary operation[2].
  • cross product's subclass of is recorded as vector multiplication[3].
  • cross product's Commons category is recorded as Cross product[4].
  • cross product's Freebase ID is recorded as /m/014m_h[5].
  • cross product's notation is recorded as multiplication sign[6].
  • cross product's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[7].
  • cross product's Encyclopædia Britannica Online ID is recorded as topic/vector-product[8].
  • cross product's has characteristic is recorded as anticommutativity[9].
  • cross product's different from is recorded as vector multiplication[10].
  • cross product's defining formula is recorded as (\boldsymbol{a} \times \boldsymbol{b})i = \sum_j \sum_k \varepsilon{i j k} a_j b_k[11].
  • cross product's defining formula is recorded as \boldsymbol{a} \times \boldsymbol{b} = \begin{pmatrix} a_y b_z - a_z b_y \ a_z b_x - a_x b_z \ a_x b_y - a_y b_x \end{pmatrix}[12].
  • cross product's MathWorld ID is recorded as CrossProduct[13].
  • cross product's Quora topic ID is recorded as Cross-Product[14].
  • cross product's JSTOR topic ID is recorded as cross-products-of-vectors[15].
  • cross product's Open Library subject ID is recorded as crossed_products[16].
  • cross product's nLab ID is recorded as cross product[17].
  • cross product's Great Norwegian Encyclopedia ID is recorded as vektorprodukt[18].
  • cross product's Elhuyar ZTH ID is recorded as 180856[19].
  • cross product's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[20].
  • cross product's maintained by WikiProject is recorded as WikiProject Mathematics[21].
  • cross product's Microsoft Academic ID is recorded as 82927061[22].
  • cross product's in defining formula is recorded as \boldsymbol{a} \times \boldsymbol{b}[23].
  • cross product's in defining formula is recorded as \varepsilon_{i j k}[24].
  • cross product's in defining formula is recorded as \boldsymbol{a}[25].
  • cross product's in defining formula is recorded as \boldsymbol{b}[26].

Why It Matters

cross product ranks in the top 0.77% of general entities by monthly Wikipedia readership (1,345 views/month, #603 of 77,819).[1] It has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[27] It is known by 57 alternative names across languages and contexts.[28]

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] . Freebase Data Dumps. wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . University Physics with Modern Physics. wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . Quora. wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . wikidata.org.
  25. [26] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . 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). cross product. Retrieved April 10, 2026, from https://4ort.xyz/entity/cross-product
MLA “cross product.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/cross-product.
BibTeX @misc{4ortxyz_cross-product_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{cross product}}, year = {2026}, url = {https://4ort.xyz/entity/cross-product}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): cross product — https://4ort.xyz/entity/cross-product (retrieved 2026-04-10)

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