The length of longer diagonal for the parallelogram
P constructed o...
The length of longer diagonal for the parallelogram
P constructed on \( 5 \vec{a}+2 \vec{b} \) and \( \vec{a}-3 \vec{b} \) if it is given that
W \( |\vec{a}|=2 \sqrt{2},|\vec{b}|=3 \) and the angle between \( \vec{a} \) and \( \vec{b} \) is \( \frac{\pi}{4} \), is
(1) 15
(2) \( \sqrt{113} \)
(3) \( \sqrt{593} \)
(4) \( \sqrt{369} \)
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