In the axioms of vector space, the existence of additive inverse which is given as $\forall v\in V$, there exists a vector -v such that $v\oplus(-v)=0$.
Is the vector $0$ mentioned here is $[0$ $0$ $...$ $0]$ or it's used in reference to the additive identity vector (which need not to be $[0$ $0$ $...$ $0]$ always)??