Final answer:
The statement that the resultant displacement of a particle moving from point A through B and C to point D can be represented by Vector AD is true. Displacement is a vector from the initial position to the final position, not dependent on the path taken.
Step-by-step explanation:
True or False: A particle moves from point A to point B, then from B to C, and finally, from C to D. The resultant displacement of the particle can be represented by the Vector AD. This statement is true.
Displacement in physics is defined as the change in position of an object and is represented as a vector that points from the initial position to the final position, regardless of the path taken. In other words, if a particle starts at point A and finishes at point D, the result of the overall motion is a single displacement vector from A to D. This vector is independent of the exact path taken; it does not matter whether the particle moved via points B and C or in any other manner. The resultant displacement is simply the vector from the start point to the endpoint.