A special [[Vector]] denoted as $\vec 0$ that has a magnitude of $0$ but has no direction. $\huge 0\vec{v} = \mat{0\\0}=\vec{0}$ More formally, the zero vector is the [[Identity Function|identity]] element of vector addition for some [[Vector Space]] $V$. $ \huge \forall \vec v \in V :\vec 0 + \vec v= \ \vec v $