Final answer:
The magnitude of Anna's W/E resultant vector component is 20.0 meters, and the direction is West, after subtracting the Eastward distance from the Westward distance.
Step-by-step explanation:
To determine the magnitude and direction of Anna's W/E resultant vector component, we need to consider only the distances she walked in the West and East directions. Anna walks a total of 23.0 meters West (2.0 meters + 21.0 meters) and then walks 3.0 meters East. To find the resultant vector, we subtract the distance she walked East from the distance she walked West.
Resultant W/E vector = Total West - Total East
Resultant W/E vector = 23.0 meters West - 3.0 meters East
Resultant W/E vector = 20.0 meters West
The magnitude of Anna's W/E resultant vector is 20.0 meters, and the direction is West.