Given: \( \vec{a}+\vec{b}+\vec{c}=0 \). Out of the three vectors \( \vec{a}, \vec{b} \) and \( \...

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Given: \( \vec{a}+\vec{b}+\vec{c}=0 \). Out of the three vectors \( \vec{a}, \vec{b} \) and \( \vec{c} \) two are equal in magnitude. The magnitude of the third vector is \( \sqrt{2} \) times that of either of the two having equal magnitude. The angles between the vectors are:
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