Problem:
Find the dot product of the following two vectors:
$\left(
\begin{array}{c}
 8 \\
 \frac{13}{2} \\
 \frac{9}{4} \\
 4 \\
\end{array}
\right)$ and
$\left(
\begin{array}{c}
 \frac{1}{4} \\
 \frac{1}{2} \\
 \frac{15}{4} \\
 -\frac{31}{4} \\
\end{array}
\right)$.
Answer:
$-\frac{277}{16}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/dot_product/15088.txt'}