Vivtar never manufactured lenses themselves. Rather, manufacture was always contracted out to other firms, but the designs were all Vivitar. Some were very good. None were truly awful. For a little bit of info about Vivitar Series 1 lenses, see
here
Sounds like this might be one of the Vivitar preset T-mount lenses. You can recognize it as such if it has 2 aperture control rings. One ring will have click stop and the other will rotate freely. Set the aperture you want with the ring having the click stops. Use the freely rotating ring to fully open the aperture for focusing and composing, then close it down to the pre-selected aperture before firing the shutter. It's not as convenient as having an aperture mechanism that stops down automatically before the shutter fires, but it is a workable solution that afforded some decent glass at budget prices. Of course, full aperture metering is not available with this arrangement; but most cameras will allow stop down metering. The biggest objection I have with lenses of this sort is that the viewfinder will go very dim when you stop the lens down to shooting aperture.
Do I think it will outperform the Nikkor zoom with VR? No, I don't. Despite my general dislike for zoom lenses, there are many years of R&D between the Vivitar lens you are contemplating and a modern Nikkor lens. If the camera body supports the VR feature of the Nikkor zoom, that's an added feature that will put you way ahead of the game. If the body does not support the VR feature, then it is a useless addition and will afford no additional advantage.