A four-vector is said to be spacelike if its four-vector norm satisfies .
One should note that the four-vector norm is nothing more than a special case of the more general Lorentzian inner product on -dimensional Lorentzian space with metric signature . In this more general environment, the inner product of two vectors and has the form
whereby one defines a vector to be spacelike precisely when .
Geometrically, the collection of all spacelike vectors lie in the open subset of formed by the exterior of the light cone.