Mathematics - Vector Question with Solution | TestHub

If the middle points of sides $\mathrm{BC},\mathrm{CA}\&\mathrm{AB}$ of triangle $ABC$ are respectively $D,E,F$ then position vector of centre of triangle $\mathrm{DEF}$, when position vector of $A,B,C$ are respectively $\hat{i}+\hat{j}$, $\hat{\mathrm{j}}+\hat{\mathrm{k}},\hat{\mathrm{k}}+\hat{\mathrm{i}}$ is -