Problem:
Find the projection of the first vector onto the second:
$\left(
\begin{array}{c}
 -\frac{1}{2} \\
 1 \\
 -\frac{1}{2} \\
 2 \\
 \frac{1}{2} \\
\end{array}
\right)$,
$\left(
\begin{array}{c}
 1 \\
 2 \\
 -2 \\
 -2 \\
 \frac{1}{2} \\
\end{array}
\right)$.
Answer:
$\left\{-\frac{5}{53},-\frac{10}{53},\frac{10}{53},\frac{10}{53},-\frac{5}{106}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/vector_angles_and_projections/39916.txt'}