Is a quadrilateral

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

Problem

ABCD

is a quadrilateral.

E

is the point of intersection of the line joining the mid-points of the opposite sides. If

O

is any point and

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

, then

x

is equal to (1)

3

(2)

9

(3)

7

(4)

4