← GSEB Class 11
Introduction to 3D Geometry
Chapter Overview
Three mutually perpendicular axes (x, y, z) define 3D space. Points are represented as ordered triples (x, y, z). The chapter covers the distance formula, section formula, midpoint formula, centroid of a triangle, and the eight octants with their sign conventions.
Topics Covered
- Coordinate Axes and Planes
- Point Coordinates
- Octants
- Distance Formula
- Section Formula
- Midpoint Formula
- Centroid
Key Formulas
d = √(x2-x1)2 + (y2-y1)2 + (z2-z1)2
Section: ((mx2+nx1)/(m+n), (my2+ny1)/(m+n), (mz2+nz1)/(m+n))
Real-World Applications
Applications: Computer graphics, game development, robotics, navigation, and molecular modeling.
Study Tips
Tip: Visualize points using a 3D coordinate system
Tip: Learn octant sign conventions
Tip: Practice extending 2D formulas to 3D