Vetor Deslocamento
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
B − A
About this calculator
The displacement vector calculator determines the vector representing the difference between two points in space. Given points A (initial) and B (final), it computes the vector Δ = B − A, displaying the resulting coordinates. The formula subtracts each coordinate of A from the corresponding coordinate of B, yielding a vector that indicates the direction and magnitude of displacement from A to B.
This tool is useful in physics problems, such as calculating the displacement of an object moving from one point to another, or in analytic geometry to find the direction vector of a line. It can also be applied in navigation, robotics, and computer simulations, where knowing the positional difference between two points is necessary.
When using the calculator, ensure you enter the coordinates correctly, respecting the order of points A and B. The result is a vector that, when applied to point A, leads to point B. Remember that order matters: B − A is different from A − B. Verify that the points are in the same coordinate system to avoid errors.
Be cautious with negative signs: if the final point has smaller coordinates than the initial, the resulting vector will have negative components, indicating displacement opposite to the positive axis direction. The calculator handles coordinates in up to three dimensions (x, y, z), but can be adapted for higher-dimensional spaces.
Frequently asked questions
What does the displacement vector mean?
The displacement vector is the difference between the final and initial positions of a point. It indicates the direction and distance of the movement, regardless of the path taken.
Can I use this calculator for physics problems?
Yes, it is ideal for calculating displacement in kinematics. Simply enter the coordinates of the initial and final points of the motion.
What is the difference between displacement vector and distance traveled?
The displacement vector is the shortest distance between two points with direction, while distance traveled is the total length of the actual path.
What happens if I reverse the order of points?
Reversing the order gives the opposite vector, with the same magnitude but opposite direction. The result will be A − B instead of B − A.
Does the calculator work with negative coordinates?
Yes, it accepts negative coordinates. The resulting vector may have negative components, indicating displacement opposite to the positive axis direction.