"unit vector" meaning in English

See unit vector in All languages combined, or Wiktionary

Noun

Forms: unit vectors [plural]
Head templates: {{en-noun}} unit vector (plural unit vectors)
  1. (linear algebra, mathematical analysis) A vector with the length of 1, defined as mathbf ̂u=(mathbf u)/(‖ mathbf u‖). Categories (topical): Linear algebra, Mathematical analysis, One, Shapes Hypernyms: vector Hyponyms: direction vector Meronyms: direction cosine Related terms: unit sphere, ◌̂ Translations (vector with length 1): مُتَّجِهٌ وَحْدَةَ (muttajihun waḥdata) [masculine] (Arabic), jednotkový vektor (Czech), enhedsvektor [common-gender] (Danish), yksikkövektori (Finnish), vecteur unité [masculine] (French), vecteur unitaire [masculine] (French), Einheitsvektor [masculine] (German), egységvektor (Hungarian), enhetsvektor [masculine] (Norwegian Bokmål), einingsvektor [masculine] (Norwegian Nynorsk), versor [masculine] (Portuguese), vetor unitário [masculine] (Portuguese), vector unitario [masculine] (Spanish), enhetsvektor [common-gender] (Swedish), เวกเตอร์หนึ่งหน่วย (vék-dtə̂ə-nʉ̀ng-nùai) (Thai), birim vektör (Turkish)
    Sense id: en-unit_vector-en-noun-UxUZ3AS5 Categories (other): English entries with incorrect language header Topics: linear-algebra, mathematical-analysis, mathematics, sciences

Inflected forms

Download JSON data for unit vector meaning in English (3.7kB)

{
  "forms": [
    {
      "form": "unit vectors",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "unit vector (plural unit vectors)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "One",
          "orig": "en:One",
          "parents": [
            "Numbers",
            "All topics",
            "Terms by semantic function",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Shapes",
          "orig": "en:Shapes",
          "parents": [
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A vector with the length of 1, defined as mathbf ̂u=(mathbf u)/(‖ mathbf u‖)."
      ],
      "hypernyms": [
        {
          "word": "vector"
        }
      ],
      "hyponyms": [
        {
          "word": "direction vector"
        }
      ],
      "id": "en-unit_vector-en-noun-UxUZ3AS5",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "vector",
          "vector"
        ]
      ],
      "meronyms": [
        {
          "word": "direction cosine"
        }
      ],
      "raw_glosses": [
        "(linear algebra, mathematical analysis) A vector with the length of 1, defined as mathbf ̂u=(mathbf u)/(‖ mathbf u‖)."
      ],
      "related": [
        {
          "word": "unit sphere"
        },
        {
          "word": "◌̂"
        }
      ],
      "topics": [
        "linear-algebra",
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "ar",
          "lang": "Arabic",
          "roman": "muttajihun waḥdata",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "مُتَّجِهٌ وَحْدَةَ"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "vector with length 1",
          "word": "jednotkový vektor"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "vector with length 1",
          "tags": [
            "common-gender"
          ],
          "word": "enhedsvektor"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "vector with length 1",
          "word": "yksikkövektori"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "vecteur unité"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "vecteur unitaire"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "Einheitsvektor"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "vector with length 1",
          "word": "egységvektor"
        },
        {
          "code": "nb",
          "lang": "Norwegian Bokmål",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "enhetsvektor"
        },
        {
          "code": "nn",
          "lang": "Norwegian Nynorsk",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "einingsvektor"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "versor"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "vetor unitário"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "vector with length 1",
          "tags": [
            "masculine"
          ],
          "word": "vector unitario"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "vector with length 1",
          "tags": [
            "common-gender"
          ],
          "word": "enhetsvektor"
        },
        {
          "code": "th",
          "lang": "Thai",
          "roman": "vék-dtə̂ə-nʉ̀ng-nùai",
          "sense": "vector with length 1",
          "word": "เวกเตอร์หนึ่งหน่วย"
        },
        {
          "code": "tr",
          "lang": "Turkish",
          "sense": "vector with length 1",
          "word": "birim vektör"
        }
      ]
    }
  ],
  "word": "unit vector"
}
{
  "forms": [
    {
      "form": "unit vectors",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "unit vector (plural unit vectors)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "vector"
    }
  ],
  "hyponyms": [
    {
      "word": "direction vector"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "meronyms": [
    {
      "word": "direction cosine"
    }
  ],
  "pos": "noun",
  "related": [
    {
      "word": "unit sphere"
    },
    {
      "word": "◌̂"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Linear algebra",
        "en:Mathematical analysis",
        "en:One",
        "en:Shapes"
      ],
      "glosses": [
        "A vector with the length of 1, defined as mathbf ̂u=(mathbf u)/(‖ mathbf u‖)."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "vector",
          "vector"
        ]
      ],
      "raw_glosses": [
        "(linear algebra, mathematical analysis) A vector with the length of 1, defined as mathbf ̂u=(mathbf u)/(‖ mathbf u‖)."
      ],
      "topics": [
        "linear-algebra",
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "ar",
      "lang": "Arabic",
      "roman": "muttajihun waḥdata",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "مُتَّجِهٌ وَحْدَةَ"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "vector with length 1",
      "word": "jednotkový vektor"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "vector with length 1",
      "tags": [
        "common-gender"
      ],
      "word": "enhedsvektor"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "vector with length 1",
      "word": "yksikkövektori"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "vecteur unité"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "vecteur unitaire"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "Einheitsvektor"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "vector with length 1",
      "word": "egységvektor"
    },
    {
      "code": "nb",
      "lang": "Norwegian Bokmål",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "enhetsvektor"
    },
    {
      "code": "nn",
      "lang": "Norwegian Nynorsk",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "einingsvektor"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "versor"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "vetor unitário"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "vector with length 1",
      "tags": [
        "masculine"
      ],
      "word": "vector unitario"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "vector with length 1",
      "tags": [
        "common-gender"
      ],
      "word": "enhetsvektor"
    },
    {
      "code": "th",
      "lang": "Thai",
      "roman": "vék-dtə̂ə-nʉ̀ng-nùai",
      "sense": "vector with length 1",
      "word": "เวกเตอร์หนึ่งหน่วย"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "vector with length 1",
      "word": "birim vektör"
    }
  ],
  "word": "unit vector"
}

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.