Question

Question was provided via image upload.

Explanation:

Answer:

(a) The bottom-right diagram (where $\vec{r}_A$ is in the fourth quadrant, $\vec{r}_B$ starts from the tip of $\vec{r}_A$ and points into the first quadrant, and $\vec{r}_C$ is the resultant from the origin).
(b) magnitude: $108.4$ m; direction: $16.1^\circ$