Calculate the Euclidean distance between two points in 3D space.
Point 1 (x₁, y₁, z₁)
Point 2 (x₂, y₂, z₂)
Distance Breakdown
7.0000
Space Distance
Δx2.00
Δy3.00
Δz6.00
Midpoint(1, 1.5, 3)
About this calculator
Distance in Three Dimensions
3D distance calculation extends the 2D Pythagorean theorem into a third dimension. It represents the length of a direct line segment connecting two points (x₁, y₁, z₁) and (x₂, y₂, z₂) in a three-dimensional Cartesian space.
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Pro Tips
The order of points (1 and 2) does not matter for the distance result.
The distance represents the 'as-the-crow-flies' path in 3D space.
Commonly used in physics, gaming, and 3D modeling.
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Fun Facts
"This formula works for any number of dimensions; in 4D, you'd just add a (w₂ - w₁)² term."
"GPS satellites use 3D distance calculations to determine your exact location on Earth."
"Einstein's Special Relativity uses a similar 'spacetime' distance, but time is subtracted instead of added."
