If position vectors of the points A, B a...

If position vectors of the points A, B and C are a, b and c respectively and the points D and E divides line segment AC and AB in the ratio 2:1 and 1:3, respectively. Then, the points of intersection of BD and EC divides EC in the ratio

`2:1`

`1:3`

`1:2`

`3:2`

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