For part a), I know that $\int(F\cdot ds)$ = $\int F(c(t)\cdot c'(t)) dt$.
So for my first path, I use points A and B to get a vector:
$$v = \langle 1-0,0-0,2-0 \rangle = \langle 1,0,2\rangle$$
Then, I get the following parametric equations:
$x = t, y =0, z = 2t$.
I can use this as my $c(t)$, but how do I find the bounds of my integral?