Let $ \vec{a} $ and $ \vec{b} $ be two vectors such that $ |2 \vec{a}+3 \vec{b}|=|3 \vec{a}+\vec{b}| $ and the angle between $ \vec{a} $ and $ \vec{b} $ is $ 60^{\circ} $. If $ \frac{1}{8} \vec{a} $ is a unit vector, then $ |\vec{b}| $ is equal to:

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Let \( \vec{a} \) and \( \vec{b} \) be two vectors such that \( |2 \vec{a}+3 \vec{b}|=|3 \vec{a}+\vec{b}| \) and the ang…

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