Algebraic Vectors: Geometric Representation of 2D Vectors

①This example demonstrates the geometric representation of two-dimensional algebraic vectors, constructing vector u from points A and B and using text objects to display both algebraic and geometric forms. ②Core mathematical concepts include 2D vector definition, coordinate representation, vector equality, free vectors, and applications in geometric shapes such as rectangles, equilateral triangles, and cones. ③Construction details: uses GeoGebra commands Intersect to find intersection points, Vector to create vectors, and text1/text2 for labeling; the construction involves rectangles, equilateral triangles, and cones, likely to illustrate relationships between vectors and these figures. ④Suitable for high school or early college courses in analytic geometry and linear algebra, as well as for visual demonstrations and exercise support in vector concepts.