Problem:
Normalize the following vector:
$\left(
\begin{array}{c}
 \frac{5}{8} \\
 -\frac{1}{8} \\
 -\frac{23}{8} \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{c}
 \sqrt{\frac{5}{111}} \\
 -\frac{1}{\sqrt{555}} \\
 -\frac{23}{\sqrt{555}} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/normalize/4301.txt'}