  In this paper we study rectifying submanifolds of a Riemannian manifold
endowed with an anti-torqued vector field. For this, we first determine a
necessary and sufficient condition for the ambient space to admit such a vector
field. Then we characterize submanifolds for which an anti-torqued vector field
is always assumed to be tangent or normal. A similar characterization is also
done in the case of the torqued vector fields. Finally, we obtain that the
rectifying submanifolds with anti-torqued axis are the warped products whose
warping function is a first integration of the conformal scalar of the axis.
