zero vector

Noun

Meaning

zero vector (plural zero vectors)

(mathematics) (Should we delete this sense?) A vector whose value in every dimension is zero. i.e.






0
→



=<
0
,
0
,
…
,
0
>


{\displaystyle {\vec {0}}=<0,0,\ldots,0>}


(linear algebra) A vector



0


{\displaystyle 0}

in a vector space



V


{\displaystyle V}

such that for any



v
∈
V


{\displaystyle v\in V}

,



0
+
v
=
v


{\displaystyle 0+v=v}

.

Source: en.wiktionary.org

Synonyms

origin null vector

Examples

The following expression explicitly gives the subspace N : citation : In the quotient, where N is mapped to the zero vector, the following equalities, : all hold (unlike in F(V × W) ), which is exactly what is desired. Source: Internet

Hamilton called pure imaginary quaternions right quaternions citation citation and real numbers (considered as quaternions with zero vector part) scalar quaternions. Source: Internet

Since matrix multiplication has no effect on the zero vector (i. Source: Internet

So : is the units of : A dimensionless variable is a quantity with fundamental dimensions raised to the zeroth power (the zero vector of the vector space over the fundamental dimensions), which is equivalent to the kernel of this matrix. Source: Internet

That is: : ;Zero vector The zero vector is the vector with length zero. Source: Internet

Close letter words and terms

zero tensor zero tolerance zero trust architecture zero volume zero-based zero-based budget