Meanings
plural vector spaces
- algebraA 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.
Each vector space has a basis and dimension.
1 more example
A vector space is a set of vectors which can be linearly combined.
Synonyms: linear space
Synonyms & antonyms
nounA 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.
Translations
Afrikaans vektorruimte
- vektorruimtemathematics
Basque bektore espazio
- bektore espaziomathematics
Catalan espai vectorial
- espai vectorialmathematics
Chinese Mandarin 向量空間 /向量空间, 矢量空間 /矢量空间
- 向量空間 /向量空间 (xiàngliàng kōngjiān)mathematics
- 矢量空間 /矢量空间 (shǐliàng kōngjiān)mathematics
Czech vektorový prostor
- vektorový prostormathematics
Danish vektorrum
- vektorrummathematics
Dutch vectorruimte
- vectorruimtemathematics
Esperanto vektora spaco
- vektora spacomathematics
Estonian vektorruum
- vektorruummathematics
Finnish vektoriavaruus
- vektoriavaruusmathematics
French espace vectoriel
- espace vectorielmathematics
German Vektorraum
- Vektorraummathematics
Greek διανυσματικός χώρος
- διανυσματικός χώρος (dianysmatikós chóros)mathematics
Hungarian vektortér
- vektortérmathematics
Icelandic vigurrúm
- vigurrúmmathematics
Indonesian ruang vektor
- ruang vektormathematics
Irish spás veicteoireach
- spás veicteoireachmathematics
Italian spazio vettoriale
- spazio vettorialemathematics
Japanese ベクトル空間
- ベクトル空間 (bekutoru kūkan)mathematics
Korean 벡터 공간
- 벡터 공간 (bekteo gonggan)mathematics
Lithuanian vektorinė erdvė
- vektorinė erdvėmathematics
Malay ruang vektor
- ruang vektormathematics
Norwegian vektorrom
- vektorrommathematics
Persian فضای برداری
- فضای برداریmathematics
Polish przestrzeń wektorowa, przestrzeń liniowa
- przestrzeń wektorowamathematics
- przestrzeń liniowamathematics
Portuguese espaço vetorial
- espaço vetorialmathematics
Romanian spațiu vectorial
- spațiu vectorialmathematics
Russian ве́кторное простра́нство
- ве́кторное простра́нство (véktornoje prostránstvo)mathematics
Slovak vektorový priestor
- vektorový priestormathematics
Spanish espacio vectorial
- espacio vectorialmathematics
Swedish vektorrum
- vektorrummathematics
Tagalog espasyong bektor
- espasyong bektormathematics
Tamil திசையன் வெளி
- திசையன் வெளி (ticaiyaṉ veḷi)mathematics
Thai ปริภูมิเวกเตอร์, ปริภูมิเชิงเส้น
- ปริภูมิเวกเตอร์mathematics
- ปริภูมิเชิงเส้นmathematics
Turkish vektör uzayı
- vektör uzayımathematics
Ukrainian векторний простір
- векторний простір (vektornyj prostir)mathematics
Vietnamese không gian vectơ
- không gian vectơmathematics
Cite this entry
vector space. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/vector%20space
“vector space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/vector%20space. Accessed November 2, 2026.
WatkinsX Dictionary, s.v. “vector space,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/vector%20space.
Source: vector space on Wiktionary, CC BY-SA 4.0.