(32.2) A block moves in two-dimensions on a horizontal plane (so the weight and normal forces cancel). A constant applied force $\vec{F} = (2, 3/2)$ N acts on the block while it moves. Compute the work done by the applied force under the following [straightline] displacements.
(a) Displacement from $\vec{r_i} = (2, 4)$ m to $\vec{r_f} = (3, 6)$ m
(b) Displacement from $\vec{r_i} = (2, 4)$ m to $\vec{r_f} = (2, 10)$ m
(c) Displacement from $\vec{r_i} = (2, 4)$ m to $\vec{r_f} = (3, -6)$ m
(d) Displacement from $\vec{r_i} = (2, 4)$ m to $\vec{r_f} = (0, 0)$ m