About Distance Between 3 Points Calculator (Formula)
The Distance Between 3 Points Calculator is a tool used to determine the distance between three points in a three-dimensional coordinate system. It is commonly used in mathematics, geometry, and physics. The formula for calculating the distance between three points involves applying the 3D version of the Pythagorean theorem.
Formula for calculating the distance between three points:
Distance = √((x2 – x1)^2 + (y2 – y1)^2 + (z2 – z1)^2)
In this formula, (x1, y1, z1) and (x2, y2, z2) represent the coordinates of the two points for which we want to find the distance. By calculating the differences in the x, y, and z coordinates, squaring them, summing them, and taking the square root of the sum, we can determine the distance between the points.
For example, let’s consider three points in a three-dimensional space: Point A (2, 3, 1), Point B (5, 1, 6), and Point C (8, 4, 3). The distance between Point A and Point B would be calculated as follows:
Distance = √((5 – 2)^2 + (1 – 3)^2 + (6 – 1)^2) ≈ 6.48
This means that the distance between Point A and Point B is approximately 6.48 units.
The Distance Between 3 Points Calculator simplifies the process of calculating distances in a three-dimensional coordinate system, aiding in mathematical, geometric, and physical calculations. By inputting the coordinates of the three points, the calculator quickly provides the distance, enabling precise measurements and analysis in various fields.