If position vectors of the points

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

Problem

A

B

and

C

are

\mathbf{a}

\mathbf{b}

\mathbf{c}

respectively and the points

D

and

E

divides line segments

AC

and

AB

in the ratio

2:1

and

1:3

, respectively. Then, point of intersection of

BD

and

EC

divides

EC

in the ratio (1)

2:1

(2)

1:3

(3)

1:2

(4)

3:2