Hello all mathematicians and all lovers of Math;

I need your help in order to solve this problem related to free resolution and how we compute the torsion group.

For any field $\displaystyle K$ and for the ring $\displaystyle R=K[x,y,z]$ (polynomial ring in three variables), compute the groups $\displaystyle Tor_{R}^{j}(K,K)$ for $\displaystyle j=0,1,2,3$

please help me and thank you in advance