If \( \vec{a}, \vec{b}, \vec{c} \) are unit vectors such that \( \v... VIDEO
If \( \vec{a}, \vec{b}, \vec{c} \) are unit vectors such that \( \vec{a}+\vec{b}+\vec{c}=\overrightarrow{0} \), find the value of \( \vec{a} \cdot \vec{b}+\vec{b} \cdot \vec{c}+\vec{c} \cdot \vec{a} \).
\( \mathrm{P} \)
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