Problem:
Normalize the following vector:
$\left(
\begin{array}{c}
 -2 \\
 2 \\
 0 \\
 -\frac{5}{2} \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{c}
 -\frac{4}{\sqrt{57}} \\
 \frac{4}{\sqrt{57}} \\
 0 \\
 -\frac{5}{\sqrt{57}} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/normalize/37677.txt'}