I believe a request for an asset appearing on a page has a HTTP_REFERER flag of your site, so one option would be to check against that and send a forbidden response if it's not your site.
Code:
RewriteCond %{HTTP_REFERER} !www.yourdomain.com
RewriteRule \.flv$ - [F]
This should also stop other sites from hotlinking your assets and using up your bandwidth. It's not a perfectly solution, as there are still ways for somebody to download the file, but it should suffice for most cases.