\( \mathrm{ABCD} \) is a quadrilateral with \( \overrightarrow{\mat...

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\( \mathrm{ABCD} \) is a quadrilateral with \( \overrightarrow{\mathrm{AB}}=\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{AD}}=\overrightarrow{\mathrm{b}} \) and
P \( \overrightarrow{A C}=2 \vec{a}+3 \vec{b} \). If its area is \( \alpha \) times the area of the

W parallelogram with \( \mathrm{AB} \) and \( \mathrm{AD} \) as adjacent sides then \( \alpha= \)
(1) 5
(2) \( \frac{5}{2} \)
\( (3)^{3} 1 \)
(4) \( \frac{1}{2} \)
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