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

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+c2,c+a2,a+b2Now, AD+BE+CF=b+c2-a+c+a2-b+a+b2-c=2a+b+c2-a+b+c=a+b+c-a+b+c=0
Regards

  • -1
What are you looking for?