The position vector of the points which divides internally in the ratio \( 2: 3 \) the join of t...

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The position vector of the points which divides internally in the ratio \( 2: 3 \) the join of the points \( 2 a-3 b \) and \( 3 a-2 b \), is
(a) \( \frac{12}{5} a+\frac{13}{5} b \)
(b) \( \frac{12}{5} a-\frac{13}{5} b \)
(c) \( \frac{3}{5} a-\frac{2}{5} b \)
(d) \( \frac{5}{12} a-\frac{5}{13} b \)
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