The ultraviolet spectrum of SN 1006 observed by the Hopkins Ultraviole
t Telescope (HUT) is modeled to infer the degree of electron-ion equil
ibration at the nonradiative shocks in the remnant. Such an approach i
s possible since the spectrum has lines (He II lambda 1640) whose exci
tation is dominated by electrons, and others (C IV lambda 1550, N V la
mbda 1240, O VI lambda 1036) in which protons and other ions are more
important, and the intensity ratio between these is sensitive to the e
lectron-ion temperature ratio. We find substantially less than full eq
uilibration, marginally consistent with existing plasma simulations bu
t rather more suggestive of even lower equilibration than these studie
s would predict. The more stringent limits on the electron temperature
resulting from this allow a more accurate determination of the distan
ce to SN 1006. Our result is 1.8 +/- 0.3 kpc.