The position vector of the point which divides the join of points \...

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The position vector of the point which divides the join of points \( 2 \vec{a}-3 \vec{b} \) and \( \vec{a}+\vec{b} \) in the ratio \( 3: 1 \) is
\( \mathrm{P} \)
(A) \( \frac{3 \vec{a}-2 \vec{b}}{2} \)
(B) \( \frac{7 \vec{a}-8 \vec{b}}{4} \)
(C) \( \frac{3 \vec{a}}{4} \)
(D) \( \frac{5 \vec{a}}{4} \)
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