If and are the midpoints of the diagonals and

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

M

and

N

are the midpoints of the diagonals

AC

and

BD

, respectively, of a quadrilateral

ABCD

, then

\overrightarrow{AB}+\overrightarrow{AD}+\overrightarrow{CB}+\overrightarrow{CD}=k\overrightarrow{MN}

, where

k=\ldots