Phrase guide

vector space

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A set of elements called vectors, together with some field and operations called addition (mapping two vectors to a vector) and scalar multiplication (mapping a vector and an element in the field to a vector), satisfying a list of constraints; equivalently, a module over a field.

Definition source: English Wiktionary via Wiktextract

Topics: algebra, geometry, mathematics, sciences, topology

Examples

  • A vector space is a set of vectors which can be linearly combined.
  • Each vector space has a basis and dimension.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

50 source translations are retained for this English entry.

  • Afrikaans: vektorruimte — mathematics
  • Armenian: վեկտորական տարածություն (vektorakan taracutʻyun) — mathematics
  • Asturian: espaciu vectorial — mathematics
  • Basque: bektore espazio — mathematics
  • Belarusian: вектарная прастора (vjektarnaja prastóra) — mathematics
  • Catalan: espai vectorial — mathematics
  • Chinese Mandarin: 向量空間 /向量空间 (xiàngliàng kōngjiān) — mathematics
  • Chinese Mandarin: 矢量空間 /矢量空间 (shǐliàng kōngjiān) — mathematics
  • Czech: vektorový prostor — mathematics
  • Danish: vektorrum — mathematics
  • Dutch: vectorruimte — mathematics
  • Esperanto: vektora spaco — mathematics
  • Estonian: vektorruum — mathematics
  • Finnish: vektoriavaruus — mathematics
  • French: espace vectoriel — mathematics
  • Galician: espazo vectorial — mathematics
  • German: Vektorraum — mathematics
  • Greek: διανυσματικός χώρος (dianysmatikós chóros) — mathematics
  • Hungarian: vektortér — mathematics
  • Icelandic: vigurrúm — mathematics
  • Indonesian: ruang vektor — mathematics
  • Interlingua: spatio vectorial — mathematics
  • Irish: spás veicteoireach — mathematics
  • Italian: spazio vettoriale — mathematics
  • Japanese: ベクトル空間 (bekutoru kūkan) — mathematics
  • Korean: 벡터 공간 (bekteo gonggan) — mathematics
  • Kyrgyz: вектордук мейкиндик (vektorduk meykindik) — mathematics
  • Lithuanian: vektorinė erdvė — mathematics
  • Macedonian: векторски простор (vektorski prostor) — mathematics
  • Malay: ruang vektor — mathematics
  • Malayalam: സദിശസമഷ്ടി (sadiśasamaṣṭi) — mathematics
  • Norwegian: vektorrom — mathematics
  • Persian: فضای برداری — mathematics
  • Polish: przestrzeń wektorowa — mathematics
  • Polish: przestrzeń liniowa — mathematics
  • Portuguese: espaço vetorial — mathematics
  • Romanian: spațiu vectorial — mathematics
  • Russian: ве́кторное простра́нство (véktornoje prostránstvo) — mathematics
  • Serbo-Croatian: vektorski prostor — mathematics
  • Slovak: vektorový priestor — mathematics
  • Slovene: vektorski prostor — mathematics
  • Spanish: espacio vectorial — mathematics
  • Swedish: vektorrum — mathematics
  • Tagalog: espasyong bektor — mathematics
  • Tamil: திசையன் வெளி (ticaiyaṉ veḷi) — mathematics
  • Thai: ปริภูมิเวกเตอร์ — mathematics
  • Thai: ปริภูมิเชิงเส้น — mathematics
  • Turkish: vektör uzayı — mathematics
  • Ukrainian: векторний простір (vektornyj prostir) — mathematics
  • Vietnamese: không gian vectơ — mathematics