3D Distance Calculator: Distance Between Two Poi...
Calculate the Euclidean distance between two points in 3D space using the distance formula. Essential for 3D geometry, physics vectors, and computer graphics.
What is the 3D Distance Formula?
The 3D distance formula is the extension of the Pythagorean theorem to three dimensions. It calculates the straight-line (Euclidean) distance between two points P₁(x₁,y₁,z₁) and P₂(x₂,y₂,z₂) in a three-dimensional coordinate system.
📐 3D Distance Calculator
Use our free calculator for instant, accurate results.
📐 Formula
d = √[(x₂−x₁)² + (y₂−y₁)² + (z₂−z₁)²]
Derived by applying the Pythagorean theorem twice — once in the xy-plane, then extending to the z-dimension.
📝 Worked Example
P₁=(1, 2, 3) and P₂=(4, 6, 8):
d = √[(4−1)² + (6−2)² + (8−3)²]
d = √[9 + 16 + 25] = √50 = 7.07 units
📝 How to Use the Calculator
❓ FAQ
Can this be used for 2D distance?
Yes — simply set z₁=z₂=0. The formula reduces to the standard 2D distance formula d=√[(x₂−x₁)²+(y₂−y₁)²].
What is the difference between Euclidean and Manhattan distance?
Euclidean distance is straight-line. Manhattan distance (taxicab distance) is the sum of absolute differences along each axis — useful in grid-based navigation.
Veer Kumavat
Founder & AuthorVeer is a 14-year-old student from Nashik, Maharashtra, who built SciFi Calculators to help students worldwide master STEM subjects. He is passionate about making complex science and math problems accessible through intuitive digital tools.