Problem:
Normalize the following vector:
$\left(
\begin{array}{c}
 \frac{1}{2} \\
 -\frac{7}{4} \\
 -\frac{11}{4} \\
 \frac{3}{4} \\
 \frac{1}{2} \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{c}
 \frac{2}{\sqrt{187}} \\
 -\frac{7}{\sqrt{187}} \\
 -\sqrt{\frac{11}{17}} \\
 \frac{3}{\sqrt{187}} \\
 \frac{2}{\sqrt{187}} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/normalize/20961.txt'}