# Dots and Blues!

Geometry Level 3

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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