if D,E,F are mid points of sides BC, CA,AB of triangle ABC prove that AD bar+ BE bar+ CF bar=0 bar Share with your friends Share 1 Lovina Kansal answered this Dear student Given: D,E,F are the mid-points of the sides BC,CA,AB respectively. Then , the positionVectors of the midpoints D,E , F are given by b→+c→2,c→+a→2,a→+b→2Now, AD→+BE→+CF→=b→+c→2-a→+c→+a→2-b→+a→+b→2-c→=2a→+b→+c→2-a→+b→+c→=a→+b→+c→-a→+b→+c→=0→ Regards -1 View Full Answer