Vector Calculus

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2. Use the properties of the dot product to show that (⃗b·⃗c)a−(⃗a·⃗c)⃗b is perpendicular to ⃗c.
Must be shown for arbitrary vectors.

Im sorry, I'm really stuck on this. I know that is a vector is perpendicular to another their dot product is 0. Can anyone steer me in the right direction?

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