cross product
mathematical operation on two vectors giving a vector as result
| rdfs:label |
"cross product"@en
|
|
skos:alt |
"vector product"@en
|
| schema:description |
"mathematical operation on two vectors giving a vector as result"@en
|
|
schema:date |
"2026-08-17T23:08:12+00:00"^^xsd:dateTime |
| schema:version | 2532544310 |
| wikibase:identifiers | 22 |
| wikibase:sitelinks | 69 |
| wikibase:statements | 40 |
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| p:P11497 | wd:statement/Q178192-6c632f77-4b77-def5-e138-2a8ca5fefdfd |
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| p:P1552 | wd:statement/Q178192-d7e39fe7-4d85-99e2-4221-b966f11b8f27 |
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| p:P2534 | wd:statement/Q178192-B5F5DBB4-E118-48A3-9EFF-D692C13028C4 |
| wd:statement/Q178192-b4005b87-4f85-9f10-d0d4-665f0a402a39 | |
| p:P279 | wd:statement/Q178192-dbe5b866-49cb-1da2-1f69-6e2bac4d9de9 |
| wd:statement/Q178192-fc5b73dc-4573-1ae6-642d-1e16066fd714 | |
| p:P2812 | wd:statement/Q178192-8252A1B0-6D29-47B5-B6A6-096E47BC436D |
| p:P3417 | wd:statement/Q178192-DB9CF2ED-4373-46F5-820F-D260B71944FE |
| p:P373 | wd:statement/q178192-43DFEA50-F315-4DE8-82E9-B99EECF66DED |
| p:P3827 | wd:statement/Q178192-3C145B54-A202-434B-8235-1ABFFD156153 |
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| p:P4215 | wd:statement/Q178192-318C3C2E-B1AE-4127-8821-524E63EADC9F |
| p:P4342 | wd:statement/Q178192-010d701d-4361-dd20-ab0a-22445eebd601 |
| p:P4746 | wd:statement/Q178192-822AFA8A-B35C-4638-802D-E2992F9CEC0E |
| p:P5008 | wd:statement/Q178192-E9734696-FCAD-4F19-BD7A-664CAF682E2F |
| p:P6104 | wd:statement/Q178192-0657427A-4DD5-4CDB-8CF7-2643E466C822 |
| p:P6366 | wd:statement/Q178192-4DBC230A-F1B0-449C-9B42-C6D8292AE05F |
| p:P646 | wd:statement/Q178192-BE359EDB-B637-4C6D-BE26-247BB19A6710 |
| p:P7235 | wd:statement/Q178192-15e13b80-4d61-9e8d-27aa-0cb504473b58 |
| wd:statement/Q178192-9ab290b1-4fe6-ea59-6b34-44a21ac47621 | |
| wd:statement/Q178192-ae21821f-440e-577c-7054-4781b58bac88 | |
| wd:statement/Q178192-c8af4016-4afd-93bd-adaa-4fb1f50b7d52 | |
| wd:statement/Q178192-ca998234-48d2-455c-f0e6-ee2dd33331f4 | |
| wd:statement/Q178192-eaf6e32b-4681-e024-8272-07e12309acda | |
| p:P7305 | wd:statement/Q178192-F60C44AF-16CC-4D58-A9EA-D2F1946F5B88 |
| p:P7554 | wd:statement/Q178192-b77fd93b-450d-3dd8-3f6c-6f16f092ef95 |
| p:P8313 | wd:statement/Q178192-2B445B41-BAFE-4DFA-B5B1-1877FB41CC7E |
| wd:statement/Q178192-a2f6d144-4810-2158-422c-ae7f14b3854d | |
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| p:P8855 | wd:statement/Q178192-c8e18fbf-4420-bac1-f8b6-ecfc59081feb |
| p:P8864 | wd:statement/Q178192-980721d1-4b95-9689-e305-8eb51e651953 |
| p:P913 | wd:statement/Q178192-c58bb2a3-4223-56e7-2f9d-70befd30d508 |
| p:P9621 | wd:statement/Q178192-2d9a1e42-4d4b-72f0-6f6e-f475ec9d02d1 |
|
p:direct- |
<https:/ |
|
p:direct- |
<http:/ |
| wdt:P10283 | "C82927061" |
| wdt:P11497 | "1.6.E9" |
| wdt:P11514 | "vektornoe-proizvedenie-5ccb42" |
| wdt:P12800 | "fr:Produit_vectoriel" |
| wdt:P12975 | "5622" |
| wdt:P1343 | ISO 80000-2:2019 Quantities and units — Part 2: Mathematics |
| wdt:P1417 | "topic/vector-product" |
| wdt:P1552 | anticommutativity |
| wdt:P1889 | vector multiplication |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>𝒂</mi></mrow><mo stretchy="false">×</mo><mrow data-mjx-texclass="ORD"><mi>𝒃</mi></mrow><msub><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></munder><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></munder><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi></mrow></mrow></msub><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝒂</mi></mrow><mo stretchy="false">×</mo><mrow data-mjx-texclass="ORD"><mi>𝒃</mi></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN">(</mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub></mtd></mtr><mtr><mtd><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub></mtd></mtr><mtr><mtd><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub><mo stretchy="false">−</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| wdt:P279 | binary operation |
| vector multiplication | |
| wdt:P2812 | "CrossProduct" |
| wdt:P3417 | "Cross-Product" |
| wdt:P373 | "Cross product" |
| wdt:P3827 | "cross-products-of-vectors" |
| wdt:P3847 | "crossed_products" |
| wdt:P4215 | "cross product" |
| wdt:P4342 | "vektorprodukt" |
| wdt:P4746 | "180856" |
| wdt:P5008 | Wikipedia:Vital articles/Level/4 |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "82927061" |
| wdt:P646 | "/m/014m_h" |
| wdt:P7235 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝒂</mi></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝒂</mi></mrow><mo stretchy="false">×</mo><mrow data-mjx-texclass="ORD"><mi>𝒃</mi></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>𝒃</mi></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi></mrow></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| wdt:P7305 | "3914173" |
| wdt:P7554 | "Cross_product" |
| wdt:P8313 | "krydsprodukt" |
| "vektorprodukt" | |
| wdt:P8814 | "05873342-n" |
| wdt:P8855 | "102-03-36" |
| wdt:P913 | × |
| wdt:P9621 | "prodotto-vettoriale" |
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