If the origin is the orthocenter of an equilateral triangle whose vertices are represented by the position vectors $\vec{a}, \vec{b}, \vec{c}$,then which of the following is true?
- A$\vec{a}+\vec{b}=\vec{c}$
- B$\vec{a}+\vec{b}=-\vec{c}$
- C$|\vec{a}|^2=|\vec{b}|^2=|\vec{c}|^2$
- D$\vec{a}=\vec{b}=\vec{c}$
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