Problem:
Normalize the following vector:
$\left(
\begin{array}{c}
 0 \\
 -\frac{1}{4} \\
 \frac{3}{4} \\
 \frac{11}{4} \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{c}
 0 \\
 -\frac{1}{\sqrt{131}} \\
 \frac{3}{\sqrt{131}} \\
 \frac{11}{\sqrt{131}} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/normalize/20348.txt'}