[gmtech1]

That hose is supposed to connect between the blower motor and the fire wall. If you look/feel under and on the fan motor, you will find a hole, thats where the long section is supposed to attatch into the motor, there will be a fitting on the fire wall to attatch the smaller section to. It looks like it has been off of the motor for a while and melted by the exhaust. Will need a new one to get it to seat into the motor.