Amole runs 10 meters due east, then runs 9 meters due south, then runs 3 meters due north. the mole then burrows 2 meters down a hole. from its original position, what is the magnitude of the mole's displacement?

Let the directions are defined by vectors as following

East = + x direction

West = - x direction

North = + y direction

South = - y direction

upwards = + z direction

downwards = - z direction

So here we are given that it moves

1). 10 m East

2). 9 m South

3). 3 m North

4). 2 m down

So we can write it as

Now total displacement will be given as

now the magnitude of the displacement will be

so the magnitude of displacement will be 11.8 m

there are no components of a physical goal mentioned on the list of choices that you've provided.