If D E and F be the mid ponts of the sides BC, CA and AB respectively of the `/_\ABC` and O be any point, then prove that `vec(OA)+vec(OB)+vec(OC)=vec(OD)+vec(OE)+vec(OF)`

if D,E and F are the mid-points of the sides BC,CA and AB respectively of the DeltaABC and O be any points, then prove that OA+OB+OC=OD+OE+OF

Let D, E and F be the middle points of the sides BC,CA and AB, respectively of a triangle ABC. Then prove that vec AD+vec BE+vec CF=vec 0

If O is a point in space, A B C is a triangle and D , E , F are the mid-points of the sides B C ,C A and A B respectively of the triangle, prove that vec O A + vec O B+ vec O C= vec O D+ vec O E+ vec O Fdot

D, E and F are the mid-points of the sides BC, CA and AB respectively of Delta ABC and G is the centroid of the triangle, then vec(GD) + vec(GE) + vec(GF) =

If D,E and F are the mid-points of the sides BC, CA and AB respectively of a triangle ABC and lambda is scalar, such that vec(AD) + 2/3vec(BE)+1/3vec(CF)=lambdavec(AC) , then lambda is equal to

ABCDE is a pentagon prove that vec(AB)+vec(BC)+vec(CD)+vec(DE)+vec(EA)=vec0

If D,E,F are the mid points of the side BC,CA and AB respectively of a triangle ABC,write the value of vec AD+vec BE+vec CF

ABCDEF is a regular hexagon. Show that : vec(OA)+vec(OB)+vec(OC)+vec(OD)+vec(OE)+vec(OF)=vec(0)

Let vec a,vec b,vec c form sides BC,CA and AB respectively of a triangle ABC then