Hi folks, the nonmenclature of the switches is a little misleading. And I might admitt that in some parts of the electrical industry the names might be used differently but the name 3-way implies that the switch has 3 terminals. you would have a common which is the power to the switch and then two hots leading from the switch. The switch would be on in one direction or on in the other direction. There is no diffenate off position. As an example, when you have a light in your house that is controlled from 2 different switches at 2 different locations, those switches are 3-way switches. They have 3 terminals but alas there would only be 2 of them to control the light. If the light is controlled from more than 2 locations then the other switches in the circuit are called 4-way switches. Yeh, i know, it doesn't seem to make sense but that is the convention of naming switches configurations. so the have a switch that will turn on the low beams in one position, and the high beams in the other position with neither being on at the same time and no definate off position, you will need a 3-way switch. See drawing.