Three vectors \( \vec{a} \), \( \vec{b} \) and \( \vec{c} \) are such that \( |\vec{a}|=1 \), \( |\vec{b}|=2 \) and \( |\vec{c}|=4 \) along with \( (\vec{a} + \vec{b} + \vec{c}) = 0 \). Then, the value of \( 4\vec{a}\cdot\vec{b} + 3\vec{b}\cdot\vec{c} + 3\vec{c}\cdot\vec{a} \) will be
