Using a sample of 935 000 BBBAR pairs collected with the CLEO-II detec
tor at the Cornell Storage Ring, we have obtained upper limits on the
branching ratios for the b --> ul- nuBAR processes B- --> omegal- nuBA
R, B- --> rho0l- nuBAR, and B0BAR --> rho+l- nuBAR. The combined resul
t using the relationships among the widths for these three modes is B(
B- --> rho0l- nuBAR) < (1.6-2.7) x 10(-4) at 90% C.L., where the range
of values is due to model dependence of the detection efficiencies. T
hese measurements yield the limits \V(ub)/V(cb)\ < 0.08-0.13.