I did some shooting on my HM-750 the other day and decided, as a test, to record in MOV format.
The camera was set to 1440x1080i and set to QuickTime mode.
After shooting, I dragged the files into my computer (Sony Vegas Pro 10 with latest version of QT player) and tried to play them but all that comes up is an audio file
I tried playing them with QT player and get the messages as shown in the attached screenshots.
I can bring them into Premiere Pro and it will read and play them but I really want Vegas to read them.
Did I do something wrong in the original recording?
Is there a fix for this?

.mov is a wrapper, for whatever codec made the orginal. You need your Vegas program to have (or recognize) the appropriate codec --- looks like XdCam is involved -- and it's possible one of the free downloads Sony provides may help, particularly since Vegas is a Sony product:

Sony | Micro Site XDCAM (http://pro.sony.com/bbsc/ssr/micro-xdcam/resource.downloads.bbsccms-assets-micro-xdcam-downloads-XDCAMSoftwareDownload.shtml#apps)

Or from here, although they're not free: Calibrated{Q} XD Decode Overview (http://www.calibratedsoftware.com/QXD.asp)