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foreword
A 3D coordinate system is a mathematical model used to describe the position and orientation of three-dimensional objects. It consists of three coordinate axes: x, y, and z, and each axis corresponds to a numerical value representing the position of the object on that axis. These three values form a triplet, which represents the position of the object in three-dimensional space.
In a three-dimensional coordinate system, the position of an object can be represented by a point. The coordinates of this point consist of three values, representing the position of the object on the x, y, and z axes, respectively. For example, (0,0,0) means that the position of the object is at the origin of coordinates, (1,2,3) means that the position of the object is 1 on the x-axis, 2 on the y-axis, and 3 on the z-axis.
A three-dimensional coordinate system can also be used to describe the orientation of objects. For example, a vector can represent a direction from one point to another. The coordinates of a vector also consist of three values, representing the vector's components on the x, y, and z axes, respectively.
