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Three vectors $\vec{a}, \vec{b}$ and $\vec{c}$ in $\mathbb{R}^{3}$ satisfy the following equation:

$\vec{a} \cdot \vec{b} = \vec{c} \cdot \vec{b}.$

What can you deduce about $\vec{a}$ and $\vec{c}$ from this information?

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