Hello, I'm Kenzi.
I do suffer from anxiety and I can tell you that dizziness is a side effect of panic attacks. If you are feeling these sensations during a panic attack, this is completely normal and you shouldn't worry. Maybe you should talk to your doctor about medication, or if you are already on medication, talk to her about some of the things you are feeling.
This could be a side effect of many things, not only stress and depression. Lack of appetite, sleep deprivation, dehydration, malnutrition, and many other things can cause these symptoms. If these symptoms don't change after treatment from your doctor, I would start looking into how healthy your lifestyle is. Here are some links that might help you:
http://exercise.about.com/od/healthinjuries/a/healthylifestyl.htm
http://www.anxietybc.comhttp://www.helpguide.org/articles/depression/depression-signs-and-symptoms.htmI hope I helped :)
~Kenzi