212k views
4 votes
What is the vector quantity that describes the shortest path between two points

1 Answer

4 votes
Answer: displacement


Step-by-step explanation:

1) While the distance covered is a scalar, displacement is a vector.

2) Displacement, the shortest path between two points, is calculated by subtracting the initial position from final position. So what happens in the middle does not count.

3) Displacement is a vector as it includes information about the direction of the motion.


4) For example: suppose the starting is in the position (0, 10) and the end is in the position (5, 20), the displacement is the vector:

displacement: (5i - 0i, 20j - 10j) = (5i, 10j)

On the other hand, if the starting position is (5,20) and the final position is (0,10), the displacment is the vector:

displacement = (0i - 5i, 10j - 20j) = (-5i - 10j)

In the given examples both vectors (displacements) have the same magnitude but opposite direction.

User Corleone
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.