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Chapter 5 Vectors and Analytic Geometry in Space 5.1 Vectors and Their Linear Operations 5.1.1 The Concept of Vector 5.1.2 Linear Operations on Vectors 5.1.3 Dot Product and Cross Product Exercise 5.1 5.2 Operations on Vectors in Cartesian Coordinates in Three Space 5.2.1 Cartesian Coordinates in Three Space 5.2.2 Operations on Vectors in Cartesian Coordinates Exercise 5.2 5.3 Planes and Lines in Space 5.3.1 Equations for Plane 5.3.2 Lines 5.3.3 Some Problems Related to Lines and Planes Exercise 5.3 5.4 Curves and Surfaces in Space 5.4.1 Sphere and Cylinder 5.4.2 Curves in Space 5.4.3 Cone 5.4.4 Surfaces of Revolution 5.4.5 Quadric Surfaces Exercise 5.4 ¡­¡­