If $\|x\|\le\|y\|$, then prove that $\langle x,y\rangle \leq \langle y,y\rangle$.

Question

If $\|x\|\le\|y\|$, then prove that $\langle x,y\rangle \leq \langle y,y\rangle$.

Answer 1

Hint: Cauchy-Schwarz

$$\phantom{asdsadsadas}$$