zero vector

English

Noun

zero vector (plural zero vectors)

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

   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)
• Polish: wektor zerowy m inan
• Romanian: vector zero m, vector nul m (less common)
• Swedish: nollvektor

See also

• additive identity
• zero matrix