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Let the position vectors of two points A...

Let the position vectors of two points A and B be `a+b+c` and `a-2b+3c`, respectively. If the points P and Q divide AB in the ratio 1 : 3 internally and externally respectively, then `3|AB|=`

A

`4 |PQ|`

B

`3 |PQ|`

C

`1/2 |PQ|`

D

`2 |PQ|`

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