Use the share button for youtube or vimeo files and choose embed. Copy the code to your page.
<video src="derrick_final_comp1.mp4" width="600" height="250" preload></video>
<video width="600" height="250" controls autoplay>
<!--iphone format first so it won't ignore the code-->
<source src="derrick_final_comp1.mp4" type='video/mp4; codecs="avc1.42E01E, mp4a.40.2"'>
<source src="derrick_final_comp1.webm" type='video/webm; codecs="vp8, vorbis"'>
<source src="derrick_final_comp1.theora.ogv" type='video/ogg; codecs="theora, vorbis"'>
<!--fallback in case the users browser sucks-->
<p>Your browser does not support html5 video</p>
</video>
The codecs attributes and values might not be absolutely necessary.
Again, iphone is first and fallback text is last. Fallback files can also be flash video.
<video width="600" height="250" controls autoplay>
<source src="derrick_final_comp1.mp4" type="video/mp4">
<source src="derrick_final_comp1.webm" type="video/webm">
<source src="derrick_final_comp1.theora.ogv" type="video/ogg">
<p>Your browser does not support html5 video</p>
</video>