Letbe the position vectors of the vertices A, B and C respectively of a triangle ABC. If G is the centroid of triangle ABC, then prove that 

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Let D, E and F are the mid-points of sides BC, CA and AB respectively.

Also, if  be the position vectors of the vertices A, B and C respectively, then  are the position vectors of mid-points D, E and F respectively.
Also, we know that centroid of the circle divides the medians in the ratio 2 : 1.
Thus, the position vectors of G ==

Answered by  | 4th Jun, 2014, 03:23: PM