Answer
True
Work Step by Step
We have $x,y \in V$
Obtain: $\\ =+\\ =-+-\\ =||x||^2-||y||^2$
Take $\lt 0\\ \leftrightarrow ||x||^2-||y||^2 \lt 0\\ \leftrightarrow ||x||^2\lt ||y||^2$
Since $||x||^2 \gt 0,||y||^2 \gt 0 \\ \leftrightarrow ||x||\lt||y||$
