Geometry Tool
3D Distance Calculator
Calculate the straight-line (Euclidean) distance between two points in 3-dimensional space.
Point 1 (x1, y1, z1)
x
y
z
Point 2 (x2, y2, z2)
x
y
z
3D Straight-Line Distance
13.0000
Σ The Formula
d = √[(x2-x1)² + (y2-y1)² + (z2-z1)²]
Real World Examples
Standard Offset
(0,0,0) to (3,4,12) = 13 units.
Coordinate Geometry
Useful for finding the length of a vector or the distance between objects in a 3D simulation.
# About This Calculator
The 3D Distance Formula is an extension of the Pythagorean Theorem into three dimensions. It calculates the shortest path between two coordinates (x, y, z).
This is a fundamental calculation in fields like:
- Computer Graphics: Determining distances for lighting, collisions, and camera placement.
- Aviation & Space: Calculating flight paths between locations defined by latitude, longitude, and altitude.
- Physics: Measuring displacement in three-dimensional force fields.
How To Use
- Enter the coordinates for **Point 1 (x, y, z)**.
- Enter the coordinates for **Point 2 (x, y, z)**.
- The **Euclidean Distance** is calculated immediately.
- The tool works for positive, negative, and decimal coordinates.
Frequently Asked Questions
Is this the same as 2D distance?+
Yes, if you set the 'z' coordinates for both points to zero, the result will be identical to the 2D distance formula.
What units does this use?+
The distance is unitless; it will be in the same units as the coordinates you provide (e.g., if coordinates are in meters, the distance is in meters).
Is 3D Distance Calculator free to use?+
Yes, 3D Distance Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is 3D Distance Calculator?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for 3D Distance Calculator are accurate for academic and professional use.
Can I use 3D Distance Calculator on my phone?+
Yes! 3D Distance Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.
Do you save my data?+
No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.