1. The problem statement, all variables and given/known data Let u = [a b] and v = [1 1]. Use the Cauchy-Schwarz inequality to show that (a+b/2)2 ≤ a2+b2/2. Those vectors are supposed to be in column form. 2. Relevant equations |<u,v>| ≤||u|| ||v||, and the fact that inner product here is defined by dot product (so <u,v> = u[itex]\cdot[/itex]v) 3. The attempt at a solution |<u,v>| ≤ ||u|| ||v|| |<[a b],[1 1]>| ≤ ||[a b]|| ||[1 1]|| |a+b| ≤ √(a2+b2)√2 and there is where I'm stuck. Any help please?