Problem:
Normalize the following vector:
$\left(
\begin{array}{c}
 \frac{2}{3} \\
 \frac{1}{6} \\
 -2 \\
 -\frac{2}{3} \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{c}
 \frac{4}{\sqrt{177}} \\
 \frac{1}{\sqrt{177}} \\
 -4 \sqrt{\frac{3}{59}} \\
 -\frac{4}{\sqrt{177}} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/normalize/6058.txt'}