Dots and Blues!

Geometry Level 2

Three vectors a,b\vec{a}, \vec{b} and c\vec{c} in R3\mathbb{R}^{3} satisfy the following equation:

ab=cb. \vec{a} \cdot \vec{b} = \vec{c} \cdot \vec{b}.

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

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