I have no flashplayer installed in my system and I will not install.
When I want to watch a FB video, FB says it does not find the flash player.
Example page: https://www.facebook.com/tphonduras/videos/956630194385429/
But if I take the direct video link
this works fine. (It won't work for you now because the auth token is missing)
So FB CAN play the video, but thinks it can not.
Why is this?
(In Firefox it works without flash)