Problem:
Normalize the following vector:
$\left(
\begin{array}{c}
 2 \\
 \frac{2}{9} \\
 -\frac{20}{9} \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{c}
 \frac{9}{\sqrt{182}} \\
 \frac{1}{\sqrt{182}} \\
 -5 \sqrt{\frac{2}{91}} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/normalize/27647.txt'}