Find the position vectors of the points that divide the join of the points 2a−3b and 3a−2b internally and externally in the ratio 2:3.
(a) 3a−2b,2a−3b
(b) 2a−3b,3a−2b
(c) a+b,4a−5b
(d) 4a−5b,a+b

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