  We present a new method for embedding a causal set into an interval of
Minkowski spacetime. The method uses spacetime volumes for causally related
elements to define causal set analogs of Minkowski inner products. These are
used to construct matrices of inner products which are then factored using the
singular value decomposition to give coordinates in Minkowski spacetime.
Results are presented showing good quality embeddings into Minkowski spacetime
for dimensions d=2,3,4. The method applies in any dimension and does not
require spacelike distances to be used as an input. It offers a new way to
define spatial orientation and spacelike distances in a causal set.
