Distance Formula Between Two Points in 3D Cartesian Coordinate System
Formula: d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²) Applicable Conditions: For any two points P₁(x₁, y₁, z₁) and P₂(x₂, y₂, z₂) in the 3D Cartesian coordinate…
Syllabus path: Geometry and Algebra › Spatial Geometry › Spatial Rectangular Coordinate System
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CSCA Mathematics Formula Reference
Formula and explanation
Formula: d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²) Applicable Conditions: For any two points P₁(x₁, y₁, z₁) and P₂(x₂, y₂, z₂) in the 3D Cartesian coordinate system. Brief Explanation: This formula extends the 2D distance formula to three dimensions, based on the Pythagorean theorem.
Related tutorial and examples
Spatial Rectangular Coordinate System
Spatial Rectangular Coordinate System The Spatial Rectangular Coordinate System is the cornerstone of analytic geometry. In the CSCA exam, you need not only to calculate distances but also to possess strong spatial visualization skills (e.g., projections of points, symmetry relat…
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