दूरी सूत्र कैलकुलेटर (3D) — सूत्र

Distance Formula

3D Distance

d = sqrt((x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²)

2D Distance

d = sqrt((x₂-x₁)² + (y₂-y₁)²)

Both are generalizations of the Pythagorean theorem.

Manhattan Distance

Also called taxicab distance: d = x₂-x₁+y₂-y₁+z₂-z₁

This is the distance when you can only move along grid lines (like streets in Manhattan).

हल किया गया उदाहरण

Distance from (1, 2, 3) to (4, 6, 8).

  1. dx = 3, dy = 4, dz = 5
  2. 3D distance = √(9 + 16 + 25) = √50 ≈ 7.0711
  3. 2D distance = √(9 + 16) = √25 = 5
  4. Manhattan distance = 3 + 4 + 5 = 12