3D Distance Calculator
Calculate the distance between two points in 3D space using the Euclidean distance formula. Free online 3D distance calculator with instant results.
Point A (x₁, y₁, z₁)
Point B (x₂, y₂, z₂)
About This Calculator
The 3D Distance Calculator computes the straight-line distance between two points in three-dimensional space. This is an extension of the Pythagorean theorem to three dimensions, essential for 3D modeling, physics, and engineering.
The calculation uses the formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2).
Frequently Asked Questions
How do you calculate 3D distance between two points?
The 3D distance between points (x1, y1, z1) and (x2, y2, z2) is calculated using: d = sqrt((x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2). Subtract corresponding coordinates, square each difference, sum them, then take the square root.
What is the 3D distance formula?
The 3D Euclidean distance formula extends the 2D Pythagorean theorem: d = sqrt((x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2). It measures the straight-line distance through three-dimensional space between any two points.
What is 3D distance used for?
3D distance calculations are essential in 3D computer graphics, CAD software, molecular modeling, astronomy for calculating distances between stars, robotics for spatial navigation, physics for calculating displacement, 3D printing, and video game development for collision detection and spatial reasoning.
What is the distance between (0,0,0) and (1,2,2)?
Using d = sqrt((1-0)^2 + (2-0)^2 + (2-0)^2) = sqrt(1 + 4 + 4) = sqrt9 = 3. The distance between (0,0,0) and (1,2,2) is 3 units.