The giant resonance region of C12 and O16 is investigated using a continuum model, which is based on configuration mixing of negative-parity particle-hole states, with the particle in the continuum. Using this model T=1, Jπ=1-, and 2- electron-scattering spectra are calculated as well as the 0-, 1-, and 2- nuclear-excitation spectra (or equivalently the neutrino spectra) in μ capture. The SU(4) relationship MP2=MV2=MA2 is tested and found to be satisfied in both nuclei to better than 10%. In addition, the relationship (MV2)=(MV2)UD|Fel(νres2)|2 is tested and found to hold to within 3%. Both of these results justify the previous work of Foldy and Walecka on calculations of total-muon-capture rates. The detailed behavior of the electron scattering spectra is examined as a function of momentum transfer with emphasis on the magnetic contribution to the 1- transverse electric spectra and the giant magnetic quadrupole resonances. The momentum dependence of integrated form factors for certain regions of the excitation spectra is also investigated.