Evaluate $\int_C \vec{F} \cdot d\vec{r}$ where $\vec{F}(x, y, z) = (1.5yz \cos(xyz), 1.5xz \cos(xyz), 1.5xy \cos(xyz))$ and C is the line segment starting at the point $(5, \frac{\pi}{2}, \frac{1}{5})$ and ending at the point $(6, \frac{1}{6}, \frac{\pi}{6})$.