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The vector equation of the plane passing through the origin and the line of intersection of the planes \( \vec{r} \cdot \vec{a}=\lambda \) and \( \vec{r} \cdot \vec{b}=\mu \) is
(A) \( \vec{r} \cdot(\lambda \vec{a}-\mu \vec{b})=0 \)
(B) \( \vec{r} \cdot(\overrightarrow{\lambda b}-\mu \vec{a})=0 \)
(C) \( \vec{r} \cdot(\lambda \vec{a}+\mu \vec{b})=0 \)
(D) \( \vec{r} \cdot(\lambda \vec{b}+\mu \vec{a})=0 \)
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