question_answer

If a, b, c are the position vectors of the vertices A, B, C of the triangle ABC, then the centroid of \[\Delta \,ABC\] is [MP PET 1987]

A) \[\frac{\mathbf{a}+\mathbf{b}+\mathbf{c}}{3}\]

B) \[\frac{1}{2}\,\left( \mathbf{a}+\frac{\mathbf{b}+\mathbf{c}}{2} \right)\]

C) \[\mathbf{a}+\frac{\mathbf{b}+\mathbf{c}}{2}\]         

D) \[\frac{\mathbf{a}+\mathbf{b}+\mathbf{c}}{2}\]