At a sponsored, Vita-focused panel at GDC Online, SCEA Senior Staff Developer Support Engineer Chris Norden described the "form factor" of the new handheld using the official Sony terminology. It's a "super oval." Norden didn't specify how the super oval differs from a regular oval -- maybe just in that it encases a PlayStation Vita.
Later during the tech-heavy panel, Norden confirmed that the Vita retail kit doesn't offer video output to TVs, and that the front and rear touch panels are "higher resolution than the screen itself." Theoretically, you could get sub-pixel precision from the touch input, if you had really pointy fingers. You'd also have a totally ruined screen.