If what you want is a quotation or offer, then sending a letter of intent makes you look ignorant while requesting a quotation will generally at least make you look like you know what it is that you want. And what you want, after all, is a price quote. Hence you want to request a price quote, via a request for quotation.
Bankruptcy Letter of Intent. Just like anything else in life, if you are planning a drastic change you should probably inform those who will be affected. The importance of keeping people informed is a requirement in some circumstances. A "letter of intent" is used in these situations. This letter informs companies or the public that future legal proceedings will occur.