# Vanishing Ricci Tensor in 3 Dimensions

In my general relativity course my professor recommended that it would be useful to convince ourselves that in 3 dimensions the vacuum field equations are trivial because the vanishing of the Ricci tensor implies the vanishing of the full Riemann tensor. However, I am unsure of how to show this mathematically; if someone could help me or point me in the right direction I would appreciate it, thanks.