B.C.
Not conditioner.
What hair she has is too fine for it, and conditioner can clog scalp pores.
You can massage olive oil into her scalp maybe once a week then wash it out.
It's safe to use for cradle cap (not that she has any) and it's good for the skin.
Searching Google for '3 yr old still has no hair' comes up with a lot of information.
It's not an uncommon problem.
You need to take her to a dermatologist.
The sparse hair may be due to some form of inherited disorder causing poor hair growth or a hair shaft disorder, or may just reflect slow hair development.
But a dermatologist will be able to help you figure out what's going on and the best course of action to treat it.
In the meantime, get her a book called 'Melisande'.
It's about a Princess cursed to be bald by a grouchy fairy who eventually overcomes it with a wish but there are exponential difficulties when it's growth gets out of control.
http://www.amazon.com/Melisande-E-Nesbit/dp/0763607177