Home
Class 12
MATHS
If G is the centroid of triangle A B C ,...

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`

Text Solution

AI Generated Solution

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 the vectors vec a , vec b ,a n d vec c form the sides B C ,C Aa n dA B , respectively, of triangle A B C ,t h e n vec adot vec b+ vec bdot vec c+ vec cdot vec a=0 b. vec axx vec b= vec bxx vec c= vec cxx vec a c. vec adot vec b= vec bdot vec c= vec cdot vec a d. vec axx vec b+ vec bxx vec c+ vec cxx vec a=0

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

vec a * {(vec b + vec c) xx (vec a + 2vec b + 3vec c)} = [vec with bvec c]

[vec a + vec b, vec b + vec c, vec c + vec a] = 2 [vec a, vec b, vec c]

[[vec a + vec b-vec c, vec b + vec c-vec a, vec c + vec a-vec b is equal to

If 2vec a + 3vec b + vec c = vec 0, then vec a xxvec b + vec b xxvec c + vec c xxvec a = 3vec b xxvec c

If vec a xxvec b = vec b xxvec c = vec c xxvec a, then vec a + vec b + vec c is equal to

If G is the centroid of Delta ABC and G' is the centroid of Delta A' B' C' " then " vec(A A)' + vec(B B)' + vec(C C)' =

A B C D E is pentagon, prove that vec A B + vec B C + vec C D + vec D E+ vec E A = vec0 vec A B+ vec A E+ vec B C+ vec D C+ vec E D+ vec A C=3 vec A C