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Chapter 3

Analytic Solid Geometry

The line, the plane, and the sphere in three-dimensional coordinate space.

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3.1 Coordinates in Space

The Three-Dimensional Coordinate SystemEasy

3.2 Distance and Midpoint in Three Dimensions

The Distance and Midpoint Formulas in 3DMedium

3.3 The Line in Space

Direction Numbers of a LineMedium
Symmetric and Parametric Equations of a LineMedium

3.4 The Plane in Space

The Normal Vector and Equation of a PlaneMedium
The Distance from a Point to a PlaneHard

3.5 The Sphere

The Standard Equation of a SphereMedium
Finding the Center and Radius by Completing the SquareHard

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