Vectors in Three Dimensions: Geometric Construction

① This example demonstrates the representation and addition of vectors in three-dimensional space, along with the construction of planes and segments to visualize spatial relationships. ② Core mathematical concepts include 3D vectors, vector addition, plane equations, spatial geometry, and the inclusion of derivative and tangent function elements. ③ Construction details: The GeoGebra commands Plane and Segment are used, with multiple points (A, B, C, D, E, F, G, H) and vectors (u, p, q, r) defined, connected by auxiliary lines (f, g, h, i, j, k, l, m, n) to form a complete spatial structure. ④ Suitable for high school or early college students learning solid geometry and vector algebra, as well as for teachers demonstrating 3D vector operations and spatial constructions in class.