What is the relationship between forces of attraction, vapor pressure, and atmospheric pressure?

probably you have already done the test; however it is important to note that your question shows a conceptual mistake; in fact there is no connection between the vapor pressure and the height of the material in the gravity field; vapor pressure depends only on the temperature and the composition of the system NOT on its height; the atmospheric pressure depends on the height and so also the boiling temperature for the effect of the pressure; vapor pressure at the same temperature and composition is the same (on the contrary forces of attraction depends on the composition)
so finally the decrease of the external atmospheric pressure allows to the identical vapor pressure and forces of attraction to make the liquid boils; it is the external parameter which varies NOT the internal ones