Skew Lines in 3D Space

① This example visually demonstrates two skew lines (lines that are neither parallel nor intersecting) in three-dimensional space, helping learners understand the fundamental classification of line relationships in solid geometry. ② Core mathematical concepts include the definition of skew lines, direction vectors in space, parametric equations of lines, and determining relative positions of lines in 3D. ③ Construction highlights: using GeoGebra's Vector command to create direction vectors v and u, and the Line command to generate lines f and g; by adjusting vector directions and positions, the two lines are shown in a typical skew configuration within a 3D coordinate system, with auxiliary elements like a parabola, quadrilateral, and circle enriching the spatial scene. ④ Suitable for high school solid geometry or college spatial analytic geometry courses, serving as an interactive tool for demonstrating skew lines and enabling students to explore spatial line relationships independently.