  In this paper we define two regular homotopy invariants c and i for
immersions of oriented 3-manifolds into R^5 in a geometric manner. The pair
(c(f),i(f)) completely describes the regular homotopy class of the immersion f.
The invariant i corresponds to the 3-dimensional obstruction that arises from
Hirsch-Smale theory and extends the one defined in [10] for immersions with
trivial normal bundle.
