The reactions $^{3}\mathrm{He}(p, 2p)d$, $^{3}\mathrm{He}(p, pd)p$, and $^{3}\mathrm{He}(p, 2p)pn$ have been studied at 45.0 MeV using a coplanar symmetric geometry. Angular correlations have been obtained for both the $^{3}\mathrm{He}(p, 2p)d$ and $^{3}\mathrm{He}(p, 2p){d}^{*}$ reactions. Within the framework of the plane-wave impulse approximation (PWIA) the extracted momentum distributions of the $p+d$ and $p+{d}^{*}$ systems in $^{3}\mathrm{He}$ are compared with predictions calculated using relatively simple wave functions for $^{3}\mathrm{He}$, $d$, and ${d}^{*}$. Reasonable agreement between the shapes of the extracted and theoretical momentum distributions has been obtained. There exist differences between the momentum distributions extracted from the angular correlation and energy-sharing data. The PWIA predictions overestimate the cross sections by appreciable factors. The $^{3}\mathrm{He}(p, pd)$ quasi-free scattering enhancements exhibit shifts in the peak position away from the minimum in the momentum of the spectator proton. The $^{3}\mathrm{He}(p, 2p)pn$ continua are to first approximation in agreement with differential phase-space distribution predictions if the kinematic region of low energy for the relative motion of the unobserved $n\ensuremath{-}p$ pair is excluded.NUCLEAR REACTIONS $^{3}\mathrm{He}(p, 2p)^{2}\mathrm{H}$, $^{3}\mathrm{He}(p, 2p)pn$, $^{3}\mathrm{He}(p, pd)^{1}\mathrm{H}$, ${T}_{1}=45.0$ MeV; measured $\frac{d\ensuremath{\sigma}}{(d{T}_{3}d{\ensuremath{\Omega}}_{3}d{\ensuremath{\Omega}}_{4})}$ in coplanar geometry; deduced momentum distributions using PWIA; compared with theoretical momentum distributions; investigated four-body continua.