Noun
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}
.
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