Here's how to find both the distance traveled and the magnitude of the displacement vector:

Distance Traveled

* Distance traveled is the total length of the path taken.

* In this case, the object travels 15.0 m north and then 11.0 m south.

* Distance traveled = 15.0 m + 11.0 m = 26.0 m

Magnitude of Displacement Vector

* Displacement is the straight-line distance between the starting point and the ending point.

* Since the object moves north and then south, we can think of the displacement as the difference between the northward and southward distances:

* Magnitude of displacement = 15.0 m - 11.0 m = 4.0 m

Explanation

The object ends up 4.0 meters north of its starting point. The fact that it traveled 15 meters north and then 11 meters south is irrelevant to the displacement. The displacement only considers the overall change in position.