3D Distance Calculator

The distance between two points P₁(x₁, y₁, z₁) and P₂(x₂, y₂, z₂) in 3D space is:

This is a direct extension of the 2D distance formula (Pythagorean theorem) into three dimensions. It gives the length of the straight line connecting the two points.

Find the distance between P₁(1, 2, 3) and P₂(4, 6, 8):

• Δx = 4 - 1 = 3
• Δy = 6 - 2 = 4
• Δz = 8 - 3 = 5
• d² = 3² + 4² + 5² = 9 + 16 + 25 = 50
• d = √50 ≈ 7.071