If and are the mid-points of the sides and respectively of the and be any point

MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors

Problem

D, E

and

F

are the mid-points of the sides

BC, CA

and

AB

respectively of the

\triangle ABC

and

O

be any point, then prove that

\mathbf{OA} + \mathbf{OB} + \mathbf{OC} = \mathbf{OD} + \mathbf{OE} + \mathbf{OF}