As stated by DaasYochid, it’s not our place to exact vengence – but it is our place to request that G-d do so. This is further seen in Av HaRachamim, the Tefila said on Shabbos before Musaf – we pray that G-d avenge those who were killed sanctifying his name.
A final point – we also ask that we merit seeing G-d exacting such vengence. So no, we don’t seek revenge on our own, but we do ask that we merit seeing those who attack us receive justice.
an Israeli Yid