1.NounA 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}
; a vector whose value in every dimension is zero; i.e., }">
0
→
=<
0
,
0
,
…
,
0
>
{\displaystyle {\vec {0}}=<0,0,\ldots ,0>}
}">.
"The zero vector of a given vector space is the space's additive identity."