If G is the centroid of `/_\ABC, `prove that `vec(GA)+vec(GB)+vec(GC)`=0. Further if `G_1` bet eh centroid of another `/_\PQR`, show that `vec(AP)+vec(BQ)+vec(CR)=3vec(GG_1)`

If G is the centroid of a triangle A B C , prove that vec G A+ vec G B+ vec G C= vec0dot

If G is the centroid of a triangle A B C , prove that vec G A+ vec G B+ vec G C= vec0dot

if G is the centroid of triangleABC such that vec(GB) and vec(GC) are inclined at on obtuse angle, then

If G denotes the centroid of Delta \ A B C ,\ then write the value of vec (G A) + vec (G B)+ vec (G C)dot

If O is the circumcentre and P the orthocentre of Delta ABC , prove that vec(OA)+ vec(OB) + vec(OC) =vec(OP) .

Let G be the centroid of Delta ABC , If vec(AB) = vec a , vec(AC) = vec b, then the vec(AG), in terms of vec a and vec b, is

If ABCDEF is a regular hexagon, prove that vec(AC)+vec(AD)+vec(EA)+vec(FA)=3vec(AB)

If G_1 is the mean centre of A_1,B_1,C_1 and G_2 that of A_2,B_2,C_2 then show that vec(A_1A_2)+vec(B_1B_2)+vec(C_1C_2)=3vec(G_1G_2)

If A,B and C are the vertices of a triangle with position vectors vec(a) , vec(b) and vec(c ) respectively and G is the centroid of Delta ABC , then vec( GA) + vec( GB ) + vec( GC ) is equal to

If G is the centroid of triangle A B C ,t h e n vec G A+ vec G B+ vec G C is equal to a. vec0 b. 3 vec G A c. 3 vec G B d. 3 vec G C