Vector Algebra

Let $\mathbf{O A}=2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{O B}=\hat{\mathbf{i}}-4 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}$ and $\mathbf{O C}=-3 \hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \hat{\mathbf{k}}$ be the position vectors of three points $A, B, C$ respectively. If $G$ is the centroid of $\triangle A B C$, then $B C^2+C A^2+A B^2+9(O G)^2=$