The linearity of the GaAs FET power amplifier(PA) is greatly influenced by source and load impedance for the FETs. The third order intermodulation products, IM3, from the GaAs FET PA are investigated in relation with source and load impedance. From heuristic as well as analytic point of view, e.g., Volterra series analysis, is employed to analyze the effects of nonlinear circuit elements, gate-source capacitance, $C_{gs}$, and drain-source current, $I_{ds}$. The sweet spots where soure and load impedance produce the least intermodulation products are calculated and compared with the load and source pull data with good agreements. It also shows that source impedance has a greater effect on the intermodulation products than the load impedcnce.