Remember there is no such thing as a magic bullet. Even with technology, finding a good job requires preparation and hard work. Second, if you submit your resume to a database, it is possible that your own employer could access it. Before you submit that resume, find out what safeguards you have. Third, as wonderful as the Internet is for meeting new people electronically, nothing should replace meeting people face to face.
Some people fax their resume.
Yes, if the employer has requested that you send your resume by fax or e-mail. Otherwise, I recommend against it. Many employers get very annoyed when their fax machines and their e-mail get cluttered with resumes that they did not request. Your faxed resume, if read by a human being, will not be on the same quality paper you would have sent through the mail. And if it's going to be scanned, the machine may have problems with the fax paper.