Directed Arc: Animated Arched Vectors

This example demonstrates how to create an animated arched vector using a directed arc, where vectors move along a curved path with clear directional indicators. Core mathematical concepts include circular arcs, vector rotation, angle parameterization, and conditional display via the If command. Construction highlights: using GeoGebra's CircleArc command to build the arc, combined with If, Distance, and Rotate commands; objects include A, C, B, c, α, β, a, b, d, e, t1, and t1', where t1 serves as a slider parameter to drive the animation, Rotate changes vector orientation, and Distance computes lengths. Suitable for high school or college students learning vectors, trigonometry, parametric equations, and dynamic geometry, as well as for visualizing force composition or motion direction in physics.