Second to last page on the MVPA. (page 6 for me)
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I guess it somewhat depends on whether Tesla does business in your state. If you're going to a delivery center and doing wire transfers be sure to have proof the funds were sent (they will have a way to check to see if the deposit went through)
Many people have written personal checks not just for the down payment but the entire purchase price.
If you're writing a large check, there are ways for businesses to know if that check is going to be good before they process it.