Jingzhong Z. Solving Problems in Point Geometry 2025

Textbook in PDF format

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