3D Distance Calculator — Distance Between Two Points

Understanding the 3D Distance Formula

Need a fast way to measure the straight-line distance between two points in three-dimensional space? This 3D distance calculator gives you an instant, accurate result using the classic Euclidean distance formula. It is designed for students, engineers, developers, and anyone who needs a reliable way to compute distance between coordinates without manual math. Whether you are checking a geometry problem or estimating a spatial gap in a 3D model, this tool provides a clear, approachable answer.

The idea comes from the Pythagorean theorem. In 2D, you square the horizontal and vertical differences, add them, and take a square root. In 3D, you include depth as a third difference. For points P₁ = (x₁, y₁, z₁) and P₂ = (x₂, y₂, z₂), the distance is: D = √((x₂ − x₁)² + (y₂ − y₁)² + (z₂ − z₁)²). This works with negatives, decimals, and scientific notation, so it covers a wide range of real-world coordinate systems.

You will see this formula in computer graphics, game development, robotics, CAD, physics, engineering, and GIS mapping. It is used to measure object separation, calculate displacement, evaluate robot path segments, and estimate straight-line distances in a 3D coordinate system. It also appears in data science and spatial analytics when comparing points in three dimensions.

How This 3D Distance Calculator Works

The calculator runs entirely in your browser for speed and privacy. To use it, follow these steps:

1. Enter the coordinates for Point 1: x₁, y₁, z₁.
2. Enter the coordinates for Point 2: x₂, y₂, z₂.
3. Click “Calculate” (or press Ctrl/Cmd + Enter) to compute the distance.
4. Review the result and use Copy or Share if you want to save or send the values.
5. Try the Swap or Example buttons to explore different scenarios quickly.

Behind the scenes, the tool subtracts each coordinate to get dx, dy, and dz, squares them, sums them, and takes the square root to return the final Euclidean distance. The calculation is instantaneous, so it is perfect for homework checks, quick engineering sketches, or validating distances in 3D models without leaving a browser tab.

Example use cases include measuring the straight-line distance between two points in a 3D game world, checking the length of a vector in physics, estimating the distance between drone waypoints, or validating CAD dimensions. If you need a simple, reliable 3D distance formula calculator, this tool provides a clean, practical solution.

Common Uses

Computer graphics and games, physics/engineering (displacement), robotics/path planning, and GIS/mapping.