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The position vectors of two points A and...

The position vectors of two points A and B are `3veca+2vecb` and `2veca-vecb` respectively. Find the vector `vec(AB)`

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Let, O be the origin of nreference.
Then `vec(AB)`= Position vector of B- Position vector of B
= `vec(OB)-vec(OA) = (3veca+2vecb)-(2veca-vecb)=veca+3vecb`
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