Vectors: Magnitude, Angle & Bearing Visualization

① This GeoGebra example dynamically illustrates the relationships among a vector's magnitude (length), its direction angle (with the positive x-axis), and its bearing (typically measured from north or south), providing an intuitive geometric representation. ② Core mathematical concepts include vector definition, magnitude calculation, conversion between direction angle and bearing, and vector decomposition into horizontal and vertical components. ③ Construction highlights: uses the Vector command to create vectors, Segment for auxiliary lines, Angle to label angles, and Point to define key points; objects include vector u, points A, B, C, D, and multiple angles α, β, γ with text labels, allowing real-time updates via sliders or inputs. ④ Suitable for high school or introductory college mathematics, especially for analytic geometry, vector operations, and trigonometry applications, as well as for demonstrating bearing concepts in navigation or engineering.