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

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are `(2 vec a + vec b)` and `(vec a - 3 vec b)` externally in the ratio 1 :2. Also, show that P is the midpoint of the line segment RQ.

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The correct Answer is:
`therefore` P is the midpoint of the line segment RQ.
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