A system for a vehicle includes a cooling apparatus including a radiator, a first water pump, a first valve, and a reservoir tank which are connected through a coolant line, the cooling apparatus configured to circulate a coolant in the coolant line to cool at least one electrical component, a battery cooling apparatus including a battery coolant line connected to the coolant line through a second valve, and a second water pump and a battery module which are connected through the battery coolant line, a heating apparatus including a heating line connected to the coolant line through a third valve, a third water pump provided on the heating line, and a heater, an air conditioner including a condenser that is connected to the heating line, and a chiller provided in the battery coolant line between the second valve and the battery module.