In this work, we introduce an efficient computational scheme, based on the macro basis function method, to analyze the scattering of a plane wave by V-shaped plasmonic optical nanoantennas. The polarization currents and scattered fields for the both symmetric and antisymmetric excitations are investigated. We investigate how the resonant frequency of the plasmonic V-shaped nanoantenna is tailored by engineering the geometrical parameters and by changing the polarization state of the incident plane wave. The computational model presented herein is faster by many orders of magnitude than commercially available finite methods, and is capable of characterizing all nanoantennas comprised of junctions and bends of nanorods.