Awww... I feel bad for ign'ant people.
UVA and UVB can ONLY penetrate the dermis and epidermis. Tose are only two of the many layers in the skin.. so no, it can't fry you.
And it's not Vitamin A... it's Vitamin D.
Gamma radiation.... UV rays..... Two different things.
Read the Sun Advantage. Those are my sources. You can also ask a few dermatologists.
I suggest you check it before you wreck it.