Vector Equation of a Line in 3D

This example demonstrates how to represent a line in three-dimensional space using a vector equation. Key mathematical concepts involved include vectors, three-dimensional coordinate geometry, and parametric equations. The construction utilizes GeoGebra commands such as Vector, Line, and Point, with objects like O (origin), A and B (direction vector start points), a, b, c (parameters), P (any point on the line), and r (radius). It is suitable for high school and above mathematics education, helping students understand and apply the representation of lines in 3D space.