Midpoint Formula of a Line Segment in 3D Cartesian Coordinate System
Formula: M((x₁ + x₂)/(2), (y₁ + y₂)/(2), (z₁ + z₂)/(2) ight) Applicable Conditions: For the line segment connecting points P₁(x₁, y₁, z₁) and P₂(x₂, y₂, z₂) in…
Syllabus path: Geometry and Algebra › Spatial Geometry › Spatial Rectangular Coordinate System
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CSCA Mathematics Formula Reference
Formula and explanation
Formula: M((x₁ + x₂)/(2), (y₁ + y₂)/(2), (z₁ + z₂)/(2) ight) Applicable Conditions: For the line segment connecting points P₁(x₁, y₁, z₁) and P₂(x₂, y₂, z₂) in the 3D Cartesian coordinate system. Brief Explanation: The coordinates of the midpoint are the arithmetic means of the corresponding coordinates of its endpoints.
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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