Final answer:
Ms. Dorbeck's distance is 0 m north and 3 m east.
Step-by-step explanation:
To calculate Ms. Dorbeck's distance, we need to find the net displacement. We can break down her movements into north and east components. Ms. Dorbeck runs 10 m south, which means her north component is -10 m. Then she runs 3 m east, so her east component is 3 m.
Finally, she runs 10 m north, which means her north component is +10 m. To find the net displacement, we add up the north and east components: -10 m + 10 m = 0 m for the north component, and 3 m for the east component. Therefore, Ms. Dorbeck's distance is 0 m north and 3 m east.