1. The problem statement, all variables and given/known data Given vectors v and w, show that |v*w| =< |v|*|w| 2. Relevant equations I know that |v| = sqrt((x1)^2+(x2)^2+...+(xn)^2) and that |w| = sqrt((y1)^2+(y2)^2+...+(yn)^2) also |v*w| = x1y1 + x2y2 + ... + xnyn We were also told Hint: use |v+c*w|^2 and (v+c*w)(v+c*w) 3. The attempt at a solution I am not at all sure what to do. I distributed the second expression in the hint to get w^2 + 2vwc + c^2*v^2, but that doesn't tell me much. Thanks!