If A, B and C are the vertices of a triangle whose position vectors are

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

\mathbf{a}

\mathbf{b}

and

\mathbf{c}

and G is the centroid of the

\Delta ABC

, then

\mathbf{GA} + \mathbf{GB} + \mathbf{GC}

is (1) 0 (2)

\mathbf{A} + \mathbf{B} + \mathbf{C}

(3)

\frac{\mathbf{a} + \mathbf{b} + \mathbf{c}}{3}

(4)

\frac{\mathbf{a} + \mathbf{b} - \mathbf{c}}{3}