Point Translation Calculator
Easily calculate the translated coordinates of a point in 2D or 3D space using a translation vector. Visualize the translation and copy results.
Enter Coordinates
Translated Point P' Coordinates:
Visualization
Understanding Point Translation
In geometry, translation moves every point of a shape or space by the same distance in a given direction. It's like sliding a figure without rotating or resizing it. To translate a point, you simply add the components of the translation vector to the coordinates of the point.
Formula:
For a point P(x, y) and a translation vector V(dx, dy), the translated point P'(x', y') is calculated as:
- x' = x + dx
- y' = y + dy
Similarly, in 3D space, for a point P(x, y, z) and a vector V(dx, dy, dz), the translated point P'(x', y', z') is:
- x' = x + dx
- y' = y + dy
- z' = z + dz
Use Cases:
Point translation is fundamental in computer graphics, robotics, and physics simulations. It's used in moving objects on screen, calculating robot movements, and simulating physical displacements.
Sources: Wikipedia - Translation (geometry)