What this chapter is about
Real world objects exist in three-dimensional space, not on flat planes. Aircraft fly in three dimensions; buildings extend vertically; molecular structures require three-dimensional visualization. While 2D geometry describes flat surfaces, 3D geometry describes actual space where we live. Three-dimensional coordinate geometry extends 2D concepts to space using three perpendicular axes. Points require three coordinates; distances involve three components; directions are described by direction cosines and direction ratios. Understanding 3D geometry enables modeling real structures, calculating spatial relationships, and solving practical engineering and scientific problems. This chapter develops 3D coordinate concepts, distance formulas, direction concepts, and basic 3D geometric relationships.
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Learning objectives
- 1Explain 3D Coordinates, Distances, and Direction Cosines
- 2Explain tHREE-DIMENSIONAL COORDINATE SYSTEM
- 3Explain coordinate Axes and Planes
- 4Explain distance Between Points
- 5Explain section Formula
- 6Explain centroid of Tetrahedron