If G is the centroid of `triangleABC` and O is any point in the plane of `triangleABC`, show that
(1) `bar(GA)+bar(GB)+bar(GC)=bar(0)`
(2) `bar(OA)+bar(OB)+bar(OC)=3bar(OG)`.

D, E, F are the midpoints of the sides BC, CA and AB respectively of triangleABC and O is any point in the plane of triangleABC . Show that (1) bar(AD)+bar(BE)+bar(CF)=bar(0)

If O is the circumcentre, 'H' is the orthocentre of triangle ABC, then show that bar(OA)+bar(OB)+bar(OC)=bar(OH)

Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[bar(a)bar(b)bar(c )] .

Let G be the centroid of a triangle ABC and O be any other point, then bar(OA)+bar(OB)+bar(OC) is equal to

Let G be the centroid of a triangle ABC and O be any other point, then bar(OA)+bar(OB)+bar(OC) is equal to

If G is the centroid of DeltaABC then bar(GA)+bar(GB)+bar(GC)=

Write the position vector of the centroid of the triangle formed by the points whose position vectors are 3bar(i)+2bar(j)-bar(k), 2bar(i)-2bar(j)+5bar(k), bar(i)+3bar(j)-bar(k) .

If G is centroid of the DeltaABC then bar(GA)+bar(BG)+bar(GC)=