The new footage from Halo 4 shows us both the sweeping theatrical introduction as well as the first-person gameplay action.
Master Chief is heading toward a downed UNSC ship. On the way there, he shows off his new weapons and tech.
Halo 4 is being developed by 343 Studios and is due out on November 6.
Here's a video of the complete E3 presentation, with much more gameplay. (It cuts off the very beginning of the trailer, however.)