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.
About
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.