Problem:
Find the dot product of the following two vectors:
$\left(
\begin{array}{c}
 \frac{3}{2} \\
 \frac{15}{2} \\
 -3 \\
 -6 \\
 -\frac{13}{2} \\
 -\frac{5}{2} \\
 \frac{9}{2} \\
\end{array}
\right)$ and
$\left(
\begin{array}{c}
 -\frac{11}{2} \\
 9 \\
 \frac{15}{2} \\
 6 \\
 \frac{3}{2} \\
 6 \\
 -\frac{15}{2} \\
\end{array}
\right)$.
Answer:
$-\frac{231}{4}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/dot_product/46435.txt'}