"3D数学基础习题答案：坐标与轴向排列"

The document "3D Mathematics Basics_Graphics and Game Development (Exercise Answers)_English Version.pdf" provides answers to exercises related to 3D mathematics in the context of graphics and game development. In Chapter 2, the following questions are answered: 1) Give the coordinates of the following points: a) (-2.5, 3) b) (1, 2) c) (2.5, 2) d) (-1, 1) e) (0, 0) f) (2, -0.5) g) (-0.5, -1.5) h) (0, -2) j) (-3, -2) 2) List the 48 different possible ways that the 3D axes may be assigned to the directions “north,” “east” and “up.” Identify which of these combinations are left-handed, and which are right-handed. North East Up Hand x y z Left x z y Right x y –z Right x z –y Left x –y z Right x –z y The document explores the various ways in which the 3D axes can be oriented based on the directions of "north," "east," and "up," and distinguishes between left-handed and right-handed combinations. This information is crucial for understanding spatial relationships and transformations in 3D graphics and game development. Understanding 3D mathematics is essential for creating realistic and visually appealing graphics in games and other interactive experiences. By mastering concepts such as coordinates, axes orientation, and transformations, developers can effectively manipulate objects in a 3D space and bring their creative visions to life. In conclusion, the exercises and answers provided in the document "3D Mathematics Basics_Graphics and Game Development (Exercise Answers)_English Version.pdf" are valuable resources for individuals looking to enhance their knowledge and skills in the field of 3D graphics and game development. Whether you are a seasoned professional or a newcomer to the industry, these exercises offer a practical way to reinforce your understanding of key mathematical principles that underpin the creation of immersive and engaging digital experiences.