2. Use the properties of the dot product to show that (⃗b·⃗c)a−(⃗a·⃗c)⃗b is perpendicular to ⃗c.

Question

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.

Answer 1

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

Answer 2

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...