Spacelike vector (source code)

= Spacelike vector
{title2=$g(v,v)>0$}

With <metric signature> $(-,+,+,+)$, a nonzero <vector> $v$ is spacelike when its <Lorentzian inner product> with itself satisfies $g(v,v)>0$. In <Minkowski spacetime>, this means its spatial components have larger squared Euclidean length than its time component. The classification is preserved by <Lorentz transformations>. A <timelike vector> has negative squared <Lorentzian inner product>, and a <null vector> has zero squared <Lorentzian inner product>.