Problem:
Normalize the following vector:
$\left(
\begin{array}{c}
 -\frac{1}{5} \\
 -\frac{21}{10} \\
 \frac{1}{5} \\
 \frac{3}{5} \\
 -\frac{27}{10} \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{c}
 -\sqrt{\frac{2}{607}} \\
 -\frac{21}{\sqrt{1214}} \\
 \sqrt{\frac{2}{607}} \\
 3 \sqrt{\frac{2}{607}} \\
 -\frac{27}{\sqrt{1214}} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/normalize/5986.txt'}