Cut both center core (leave the plastic on) and shielding to the right equal length for the frequency of interest
Yes, this works very well too, but I find it to be a bit harder to make than a balanced dipole.
Just to be clear, for proper operation it is important that the shielding be widened, turned inside out and then pulled back over the unmodified portion of the coaxial cable (cover that portion completely with the inverted shielding). The outer surface of the exposed, inside out shielding becomes one of the radiating elements and should be slightly less than 1/4 wavelength in length.