Google Classroom
GeoGebraGeoGebra Classroom

Tracing path of vector

Script

a = Slider(0, 2 pi, 0.01, 1, 170, false, true, false, false) r = Slider(0, 5, 0.01, 1, 170, false, true, false, false) fx(x) = r * cos(x * 10) * sin(x/2) fy(x) = r * sin(x * 10) * sin(x/2) fz(x) = r * cos(x/2) c = Curve(fx(u), fy(u), fz(u), u, 0, a) O = (0,0,0) s = Sphere(O, r) v = Vector(O, c(a))

Script using polar form

r = 3 rot = 10 α = Slider(0, 360°, 1°, 1, 170, true, true, false, false) c = Curve((r; rot t; 90° + t / 2), t, 0, α) O = (0,0,0) B = (r; rot α; 90° + α / 2) v = Vector(O, B) s = Sphere(O, r)