After extraction of wisdom teeth , it takes 7 to 10 days usually for the extraction socket to heal and close completely provided if there is no infection.
During the healing process you there is increased salivary secretion and due to stimulation of antibiotics and analgesics you may experience the feeling on nausea
Few antibiotics increases acid redux in the body which leads to dizziness
so don't worry as it is a secondary reaction.
To get rid of nausea and vomiting start with antacid
tablets twice daily before meals.
Use antiseptic mouthwash like chlorhexidine
for mouth rinsing which prevents infection ,reduses salivation and gives soothing effect.
I hope this helps,