yes
Even if the main borrower has signed the papers, legally you have 3 days from the time you sign the papers to be able to take the vehicle back and say you have changed your mind. So just take it back and say I've changed my mind.
No. The repo man is not going to walk up to you and say "I'm here to take your car; could you sign these papers, please?" You may be asked to sign papers afterward, if you're very lucky; papers agreeing to pay back the deficit between what you still owed on the car and what it was actually worth. If you're not lucky, the only thing you'll be asked to sign is a check for the full amount of the deficit, plus the repossession fees (probably $300-500).
If you signed all the papers but did not make the down payment, can you back out of the car deal? No, once you sign the paper you are locked in. If you back out you will take a credit hit.
Once you sign the papers you are responsible
You have to look at the papers that you sign with the car dealer. Typically they make you sign an agreement to bring the car back in the event that they can not get you financed. If they did not have you sign something, then they will probably hold the note themselves and then you have to pay the car dealer. But the short answer is yes, you can not keep the car if you can not pay for it.
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If you did not sign the contract, then the car does not belong to you. However, they can charge you a daily rate for having the car (as if you had rented it).
Yes, you should get the car after you sign all the papers.
no, when you sign, its a done deal
NO! Once you sign the papers, it is your car.
for ever
Yes, but you would have to sign the papers for the title of your car to be transferred to the new owner.