The displacement cannot be longer than the distance, though it can be less.
Work Step by Step
The displacement vector is the straight line that connects the start point and the end point. It is the shortest distance between those two points. So, the displacement vector can never be longer than the length of path traveled (i.e, the distance). If the particle took a straight line between the 2 points, the length of the displacement vector is exactly the distance traveled. If the particle takes a path that isn’t straight, then the length of the displacement vector is less than the distance traveled.