Home
Class 12
MATHS
If G is the centroid of /\ABC, prove tha...

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)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If G is the centroid of a triangle ABC, prove that vec GA+vec GB+vec GC=vec 0

If G denotes the centroid of Delta ABC, then write the value o vec GA+vec GB+vec GC

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

Prove that GvecA+GvecB+GvecC=vec0 , if G is the centroid of Delta ABC.

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

If G is the centroid of triangle ABC, then vec GA+vec GB+vec GC is equal to a.vec 0 b.3vec GA c.3vec GB d.3vec GC

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)

G is a point inside the plane of the triangle ABC,vec GA+vec GB+vec GC=0, then show that G is the centroid of triangle ABC.

[vec a vec a vec a]= (A) 1 (B) 0 (C) vec a