\( \vec{a} \) and \( \vec{b} \) are non-collinear vectors such that...

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\( \vec{a} \) and \( \vec{b} \) are non-collinear vectors such that
P
W \( |\vec{a}|=2 \sqrt{2} \) and \( |\vec{b}|=3 \) and the angle between \( (\vec{a}, \vec{b}) \) is
\( \frac{\pi}{4} \). If \( 5 \vec{a}+2 \vec{b} \) and \( \vec{a}-3 \vec{b} \) are adjacent sides of \( a \) parallelogram, then its area in square units is
(1) 72
(2) 92
(3) 102
(4) 112
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