Calculus III Please Help
posted by Joy .
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.
I have tried to assign each vector (b,a,c) arbitrary identities with unit vectors i,j,k, but I'm really stuck. Any help would be greatly appreciated.

their are 360 legs in total and 6x the amount of birds than cats.How many birds and cats are their?

Oh...I know theres a multiplicity involved, and the difference of those two expressions has to equal 0, because their difference dot the c vector has to be 0, so they can be perpendicular, correct? Sorry, I'm not sure how what you said relates to this problem when I have to use arbitrary vectors...