hello and welcome to HCM forum,
i would be glad to answer your query,
according to the dental history posted by you, it seems that vomitting and dizziness
are as a result of the side effects of pain killers and antibiotics prescribed to you following the extraction.
Do not worry, just visit your dentist
, he/she will prescribe an antacid
It is quite common to have these symptoms following the medication.
i would recommend you to take a healthy diet, drink lots of water and rest, you will be fine in 3-5 days.
i hope i answered your query,
i wish you good health,