Mathematics

Mathematics

Problem

If position vectors of the points

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 a.

2:1

b.

1:3

c.

1:2

d.

3:2

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