DELL NIC RJ-45 connectors no response

Hello,


I recently bought a Dell Latitude D620. It is running windows XP SP2 and has a broadcom netxtreme 57xx gigabit ethernet LAN card.I've tried connecting this Dell latitute while its on ac power to another Laptop(HP pavilion running windows XP SP3) using a Cat 5e crossover cable with RJ-45 connectors.When I plug the two RJ-45 connectors into both laptops, there is totally no response. It doesn't give any green or red lights on the NIC's of both laptops and when I go to the Network connections options of both laptops, it says the network cable is unplugged.When I go to the device manager of the Dell laptop,it says the the NIC is working properly.I'am also very sure there is nothing wrong with the Cat 5e crossover cable I used for connecting these two laptops because earlier on I had used this very cable to connect the same HP pavilion to a Desktop at my workplace.
Am puzzled as to what the problem may be. Any body out there; please give some advice.