how do our skin produce Vit. E when these sun light?

Answer 1

We need light to break down Vit. D. not E

Vitamin D3 is produced photochemically in the skin from 7-dehydrocholesterol. Synthesis in the skin involves UVB radiation which effectively penetrates only the epidermal layers of skin. 7-Dehydrocholesterol(inactive vit D) absorbs UV light and undergoes complex electron shifts which activates the molecule so our bodies can use it.

If your interested in the chemistry wiki has a great article.
http://en.wikipedia.org/wiki/Vitamin_D

Answer 2

Actions of the skin produce Vitamin D when exposed to sunlight

Damage to skin by sunlight can be repaired by Vitamin E, it rids the body of poisons such as antioxidants that are produced from overexposure. Vitamin E, however does not repair DNA damage/mutations but there are other mechanisms in the human body they provide DNA excision repair