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Find the position vector of a point C wh...

Find the position vector of a point C which divides the line segment joining A and B, whose position vectors are `2vec(a) + vec(b)` and `vec(a) - 3vec(b)`, externally in the ratio `1:2`. Also, show that A is the mid-point of the line segment BC.

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The correct Answer is:
`vec(OA)`
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