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?