Triangle ABC with vertices have position vectors \(2 \vec{p}-3 \vec{q}+2 \vec{r}, \vec{p}-\vec{q}+3 \vec{r},-\vec{p}+2 \…

Triangle ABC with vertices have position vectors \(2 \vec{p}-3 \vec{q}+2 \vec{r}, \vec{p}-\vec{q}+3 \vec{r},-\vec{p}+2 \vec{q}+5 \vec{r}\) and orthocentre's position vector is \(\frac{\vec{p}+\vec{q}+\vec{r}}{4}\) then find position vector of circumcenter.