Math

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3D Distance Calculator.

Find the straight-line distance between two points in three-dimensional space.

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Results update as you type.

Result: 7.000000 units

Result

7.000000 units

Use Cases

Measure distance in 3D modeling

Quickly find the distance between two vertices or points in a 3D model, useful for design, animation, or engineering.

Example: Distance between (0,0,0) and (3,4,5) is √(9+16+25)=√50≈7.07 units.

Physics and navigation

Calculate the straight-line distance between two objects or locations in 3D space, such as in kinematics or GPS with altitude.

Example: Distance between two drones at (1,2,3) and (4,6,8) is √(9+16+25)=√50≈7.07.

Frequently Asked Questions

How do I use the 3D Distance Calculator?
Enter the x, y, and z coordinates for the first point (x₁, y₁, z₁) and the second point (x₂, y₂, z₂). The calculator will compute the Euclidean distance between them using the formula: √((x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²).
What is the formula for 3D distance?
The 3D distance formula is derived from the Pythagorean theorem extended to three dimensions: distance = √((x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²). It gives the straight-line distance between two points in space.
Can this calculator handle negative coordinates?
Yes, you can enter negative values for any of the coordinates. The calculator squares the differences, so the result is always a non-negative distance.

Tips & Common Mistakes

Tips

  • Double-check that you enter the coordinates in the correct order: x₁, y₁, z₁ for the first point and x₂, y₂, z₂ for the second.
  • If you only need 2D distance, set the z coordinates to 0 for both points.
  • Use consistent units (e.g., meters, feet) for all coordinates to get the distance in the same unit.
  • For large coordinates, the calculator handles the math, but you can verify by squaring differences manually.

Common Mistakes to Avoid

  • Swapping the x and y coordinates between points, which can lead to incorrect differences.
  • Forgetting to square the differences before summing them, or taking the square root of the sum of the squares incorrectly.
  • Using inconsistent units for different coordinates, which yields an incorrect distance.

Last updated: August 13, 2026