If \( \vec{a}, \vec{b}, \vec{c} \) are three vectors such that \( \...

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If \( \vec{a}, \vec{b}, \vec{c} \) are three vectors such that \( \vec{a}+\vec{b}+\vec{c}=\overrightarrow{0} \) and \( |\vec{a}|=2,|\vec{b}|=3,|\vec{c}|=5 \), then value of \( \vec{a} \cdot \vec{b}+\vec{b} \cdot \vec{c}+\vec{c} \cdot \vec{a} \) is
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(A) 0
(B) 1
(C) \( -19 \)
(D) 38
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