1. Evaluate
(a) $\int_C xyz^2 ds$ where C is the line segment from $(-1, 5, 0)$ to $(1, 6, 4)$.
(b) $\int_C \vec{F} \cdot dr$ where C is given by $\vec{r}(t) = 6\vec{i} + \sin(t)\vec{j} + \cos(t)\vec{k}$, $0 \le t \le \pi$ and
$\vec{F}(x, y, z) = z\vec{i} + y\vec{j} - x\vec{k}$.