The anode is the electrode where oxidation (loss of electrons) takes place; in a galvanic cell, it is the negative electrode, as when oxidation occurs, electrons are left behind on the electrode.
The cathode is the electrode where reduction (gain of electrons) takes place; in a galvanic cell, it is the positive electrode, as less oxidation occurs, fewer ions go into solution, and fewer electrons are left on the electrode.
So, in the reaction 2Cr3++7H2O→Cr2O72−+14H+
Cr is getting oxidised as the oxidation state is changing from +3 to +6 and hence this reaction is possible at anode.