zero vector

English

Noun

zero vector (plural zero vectors)

2. (mathematics, linear algebra) A vector ${\displaystyle 0}$ in a vector space ${\displaystyle V}$ such that for any ${\displaystyle v\in V}$, ${\displaystyle 0+v=v}$; a vector whose value in every dimension is zero; i.e., ${\displaystyle {\vec {0}}=<0,0,\ldots ,0>}$.

   The zero vector of a given vector space is the space's additive identity.

Synonyms

• origin, null vector

Translations

vector whose value is zero

Azerbaijani: sıfır vektor Danish: nulvektor c Finnish: nollavektori (fi) German: Nullvektor (de) m Greek: μηδενικό διάνυσμα n (midenikó diánysma) Romanian: vector zero m, vector nul m (less common) Swedish: nollvektor

See also

• additive identity
• zero matrix