Final answer:
The resultant vector displacement of the nomad is -2 km east and -15 km north.
Step-by-step explanation:
To determine the resultant vector displacement of the nomad, we can break down each individual movement into its east and north components.
The nomad first moves 5 km south, which means the displacement vector is 0 km in the east direction and -5 km in the north direction.
Next, the nomad moves 8 km east, so the displacement vector is 8 km in the east direction and 0 km in the north direction.
Finally, the nomad moves 10 km northwest, which means the displacement vector is -10 km in the east direction and -10 km in the north direction.
To find the resultant displacement, we can add up the east and north components separately. The east component is 8 km - 10 km = -2 km, and the north component is -5 km - 10 km = -15 km.
Therefore, the resultant vector displacement of the nomad is -2 km east and -15 km north.