  We study Coulomb drag in a system consisting of a carbon nanotube (CNT) and
monolayer graphene. Within the Fermi liquid theory we calculate the drag
resistivity and find that the dimensional mismatch of the system components
leads to a dependence of the drag rate on the carrier density, temperature, and
spacing, which is substantially different from what is known for graphene
double layers. Due to the competing effects of forward and backward scattering,
we identify new features of the drag dependence on the electron density, which
allows us to control their relative contribution to the drag resistivity.
