Tangent Velocity Vectors of a Space Curve

Tangent Velocity Vectors of a Space Curve
Loading the math board and drawing, please wait…
2017-02-05 07:15
This example demonstrates the tangent velocity vectors of a space curve. Key mathematical concepts include derivatives and vectors. Using GeoGebra commands such as CurveCartesian, Derivative, and Vector, the construction of the tangent velocity vectors of a space curve is illustrated. Suitable for high school or university calculus courses.

GeoGebra Commands & Parameters

  1. CurveCartesian((2 * cos(t)), (2 * sin(t)), (5 * cos(t)^(2)), t, (-2 * π), (2 * π)) → r
  2. Derivative(r) → r'
  3. Vector(r'(t)) → dr
  4. Vector(r(t), Point[r(t), dr]) → t_r