I have an 02 QX4 and the low and high beams are completely different bulbs. The
low beams are HID bulbs thru the projector lens and the
high beams are regular 12V bulbs in a reflector. If both high beams are out, first check the bulbs, and while you have them out, check to see if you have 12V in the sockets with the lights on. If there isn't 12V, check the wiring back to the relay. Unless you have some aftermarket HID setup, dual filament bulbs will not work in the HID socket and HID bulbs will not work in the 12V high beam socket. I know this because when I got my QX4 the low beams were much whiter than the high beams so I throughly investigated the setup and ended up replacing my high beams with Sylvania Silver Stars which are whiter colored than most incandescent bulbs.
AceEngineer