I have a simple question ...
Consider two vectors of same length $\mathbf{x}$ and $\mathbf{y}$. This identity holds:
$|\mathbf{x}'\mathbf{y}|$ $\leq$ $\|\mathbf{x}\|$ $\|\mathbf{y}\|$
Then is should follow that: $\mathbf{x}'\mathbf{y}$ $\leq$ $\|\mathbf{x}\|$ $\|\mathbf{y}\|$
Right?