Question

Can the magnitude of the displacement vector be more than the distance traveled? Less than the distance traveled? Explain

Short answer

Displacement cannot be larger than the distance traveled but it can be less than it.

Step-by-step solution

Step 1. Given information

The given statement is:

Can the magnitude of the displacement vector be more than and less than the distance traveled ?

Step 2.  Define the displacement

Displacement vector is the shortest distance traveled. It is the straight line connecting initial and final point of the position vector during a given motion

Step 3. Conclusion  

So, the displacement cannot be larger than the distance traveled but it can be less than it.