Final answer:
Displacement is a vector quantity indicating both the distance and direction of an object's movement, confirming the statement as true. It is depicted as an arrow from the initial to the final position, with its length expressing the magnitude.
Step-by-step explanation:
Displacement is a vector quantity that indeed represents both the distance and direction an object moves, making the initial assertion true. In physics, displacement is expressed as an arrow that originates at the initial position and points towards the final position. The magnitude of the displacement vector is the length of this arrow, and it shows the shortest path between the starting and ending points.
Consider an object moving from initial position A to final position B. If we were to draw this, vector δ, representing the displacement, would be an arrow traveling from A to B. The length of the arrow represents the magnitude of the displacement, labeled as D, and the arrowhead indicates the direction. This differentiates displacement from distance, which is a scalar quantity and accounts for the entire path taken, without regards to direction. Vectors, including displacement, have properties of both magnitude and direction, whereas scalars have only magnitude.