No links please Chapter name : Vector Q15. Let D ,E , F are the midpoints of the sides B C , C A and A B of the triangle ABC. Prove that A D → + B E → + C F → = 0 → . Share with your friends Share 0 Neha Sethi answered this Dear student Let ABC be a △ and let the position vectors of vertices A,B,C be a→,b→,c→ respectively. Let D,E,F be the mid points of sides BC,CA and AB respectively.Then the position vectors of D,E and F are b→+c⇀2,c→+a→2 and a→+b→2 respectively.We need to prove:AD→+BE→+CF→=0→Now,AD→+BE→+CF→=b→+c⇀2-a→+c→+a→2-b→+a→+b→2-c→=12b→+c→-2a→+c→+a→-2b→+a→+b→-2c→=0→ Regards 0 View Full Answer
