I believe vinegar is used more for keeping mold out of your cultures. It may do a little to prevent mites.. but they are pretty hardy creatures.

If you start with mite free cultures.. for example, buying from a reputable breeder or sponsor, you should be able to get mite free without problems. When you do see a mite or two, don't freak out Keep it away from your other cultures, but keep in mind that it will take weeks for them to build up a colony that could destroy your culture in most cases. It is recommended to throw your cultures out after 30 days because of that. Some cultures will continue to produce longer than that.. but at a risk of a mite infestation. That is why I used my culture schedule so I could replace my 30 day old culture with a new culture each week.

It sounds scarier than it is. It will probably happen to everyone a few times in the hobby.. but if you take precautions such as getting rid of old cultures, keeping new ones separated from older, using mite paper or spray, not allowing lids to touch each other, and keeping the cultures away from your tanks, you most likely won't have many issues.