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Preface About the Authors Overview of Point Geometry Introduction Addition and Scalar Multiplication of Points Inner Product of Points Exterior Product of Points Exterior product of two points Exterior product of three points Points Multiplication by Complex Number Conclusion Computational Methods Intersections Computing and Geometric Constructions Point-Line Positions Perpendicular and Equal Segments Reference Identity-Based Method 1: Analytical Approaches Classic Vector Identities Examples: Identities with Two Terms Examples: Identities with Multiple Terms Identity-Based Method 2: Undetermined Coefficients Method of Undetermined Coefficients Applications Assorted Problems Introducing Parameters Introducing Complex Numbers Combined with Other Methods Trajectory Problems Appendix Exercise Answers