See vector product in All languages combined, or Wiktionary
Download JSON data for vector product meaning in English (6.6kB)
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"etymology_text": "Coined by William Kingdon Clifford in 1877 in his book Elements of Dynamic.",
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"a vector with the size given by the product of two vectors computed as the product of the magnitudes of the vectors and the sine of the angle between their directions, and directed perpendicular to the given two vectors, with positive orientation."
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"(linear algebra) a vector with the size given by the product of two vectors computed as the product of the magnitudes of the vectors and the sine of the angle between their directions, and directed perpendicular to the given two vectors, with positive orientation."
],
"related": [
{
"word": "scalar product"
}
],
"synonyms": [
{
"word": "cross product"
}
],
"topics": [
"linear-algebra",
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],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "vector with size given by the product of two vectors",
"word": "向量積"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "xiàngliàngjī",
"sense": "vector with size given by the product of two vectors",
"word": "向量积"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "vector with size given by the product of two vectors",
"word": "矢量積"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "shǐliàngjī",
"sense": "vector with size given by the product of two vectors",
"word": "矢量积"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "vector with size given by the product of two vectors",
"word": "矢積"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "shǐjī",
"sense": "vector with size given by the product of two vectors",
"word": "矢积"
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{
"code": "cmn",
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"roman": "shǐzhí",
"sense": "vector with size given by the product of two vectors",
"word": "矢值"
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{
"code": "cs",
"lang": "Czech",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "vektorový součin"
},
{
"code": "da",
"lang": "Danish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "vektorprodukt"
},
{
"code": "da",
"lang": "Danish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "krydsprodukt"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "kruisproduct"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "vector with size given by the product of two vectors",
"word": "vektoritulo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "vector with size given by the product of two vectors",
"word": "ristitulo"
},
{
"code": "fr",
"lang": "French",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "produit vectoriel"
},
{
"code": "fr",
"lang": "French",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "produit extérieur"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "vector with size given by the product of two vectors",
"word": "vektoriális szorzat"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "krossfeldi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
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{
"code": "is",
"lang": "Icelandic",
"sense": "vector with size given by the product of two vectors",
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{
"code": "is",
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{
"code": "is",
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"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "vektormargfeldi"
},
{
"code": "it",
"lang": "Italian",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "prodotto vettoriale"
},
{
"code": "ko",
"lang": "Korean",
"roman": "bekteogop",
"sense": "vector with size given by the product of two vectors",
"word": "벡터곱"
},
{
"code": "pl",
"lang": "Polish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "iloczyn wektorowy"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "produto vectorial"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "produto externo"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "produs vectorial"
},
{
"code": "ru",
"lang": "Russian",
"roman": "véktornoje proizvedénije",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "ве́кторное произведе́ние"
},
{
"code": "es",
"lang": "Spanish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "producto vectorial"
},
{
"code": "es",
"lang": "Spanish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "producto cruz"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"common-gender"
],
"word": "vektorprodukt"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"common-gender"
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"word": "kryssprodukt"
}
],
"wikipedia": [
"vector product"
]
}
],
"word": "vector product"
}
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],
"etymology_text": "Coined by William Kingdon Clifford in 1877 in his book Elements of Dynamic.",
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"form": "vector products",
"tags": [
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}
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"glosses": [
"a vector with the size given by the product of two vectors computed as the product of the magnitudes of the vectors and the sine of the angle between their directions, and directed perpendicular to the given two vectors, with positive orientation."
],
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"linear algebra",
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"(linear algebra) a vector with the size given by the product of two vectors computed as the product of the magnitudes of the vectors and the sine of the angle between their directions, and directed perpendicular to the given two vectors, with positive orientation."
],
"topics": [
"linear-algebra",
"mathematics",
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"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "vector with size given by the product of two vectors",
"word": "向量積"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "xiàngliàngjī",
"sense": "vector with size given by the product of two vectors",
"word": "向量积"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "vector with size given by the product of two vectors",
"word": "矢量積"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "shǐliàngjī",
"sense": "vector with size given by the product of two vectors",
"word": "矢量积"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "vector with size given by the product of two vectors",
"word": "矢積"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "shǐjī",
"sense": "vector with size given by the product of two vectors",
"word": "矢积"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "shǐzhí",
"sense": "vector with size given by the product of two vectors",
"word": "矢值"
},
{
"code": "cs",
"lang": "Czech",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "vektorový součin"
},
{
"code": "da",
"lang": "Danish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "vektorprodukt"
},
{
"code": "da",
"lang": "Danish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "krydsprodukt"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "kruisproduct"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "vector with size given by the product of two vectors",
"word": "vektoritulo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "vector with size given by the product of two vectors",
"word": "ristitulo"
},
{
"code": "fr",
"lang": "French",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "produit vectoriel"
},
{
"code": "fr",
"lang": "French",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "produit extérieur"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "vector with size given by the product of two vectors",
"word": "vektoriális szorzat"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "krossfeldi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "krossmargfeldi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "vigurfeldi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "vigurmargfeldi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "vektormargfeldi"
},
{
"code": "it",
"lang": "Italian",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "prodotto vettoriale"
},
{
"code": "ko",
"lang": "Korean",
"roman": "bekteogop",
"sense": "vector with size given by the product of two vectors",
"word": "벡터곱"
},
{
"code": "pl",
"lang": "Polish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "iloczyn wektorowy"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "produto vectorial"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "produto externo"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "produs vectorial"
},
{
"code": "ru",
"lang": "Russian",
"roman": "véktornoje proizvedénije",
"sense": "vector with size given by the product of two vectors",
"tags": [
"neuter"
],
"word": "ве́кторное произведе́ние"
},
{
"code": "es",
"lang": "Spanish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "producto vectorial"
},
{
"code": "es",
"lang": "Spanish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"masculine"
],
"word": "producto cruz"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"common-gender"
],
"word": "vektorprodukt"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "vector with size given by the product of two vectors",
"tags": [
"common-gender"
],
"word": "kryssprodukt"
}
],
"word": "vector product"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-06 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.