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Adding Vectors using Unit Vector Method

Adding Vectors using Unit Vector Method
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2019-09-11 17:44
VectorTrigonometryCoordinate GeometrySolid Geometry
This example demonstrates vector addition using the unit vector method. It involves core math concepts like vectors, unit vectors, Pythagorean theorem, and special points in solid geometry. Constructed with GeoGebra commands: Vector, Textfield, Angle, If. Suitable for high school and university-level physics and mathematics education on vector composition and decomposition.

GeoGebra Commands & Parameters

  1. Vector((MagVx, MagVy)) → V
  2. Textfield(MagVx) → InputBox1
  3. Textfield(MagVy) → InputBox2
  4. Vector((MagVx, 0)) → Vx
  5. Vector(VyStart, (MagVx, MagVy)) → Vy
  6. Angle(Vx, V) → α
  7. Vector((MagUx, MagUy)) → UPointer
  8. Textfield(MagUx) → InputBox3
  9. Textfield(MagUy) → InputBox5
  10. Vector((0, MagUy)) → UYPointer
  11. Vector((MagUx, 0)) → UXPointer
  12. Vector(UyStart, (MagVx + MagUx, MagVy + MagUy)) → Uy
  13. Vector((MagVx + MagUx, MagVy + MagUy)) → Resultant
  14. Vector(UStart, Point[(MagVx, MagVy), UPointer]) → U
  15. Vector(UStart, Point[(MagVx, MagVy), UXPointer]) → Ux
  16. Vector((0, MagVy + MagUy)) → Ry
  17. Vector((MagVx + MagUx, 0)) → RyPointer
  18. Vector((0, MagVy + MagUy), Point[(0, MagVy + MagUy), RyPointer]) → Rx
  19. Vector((1, 0)) → PosXPointer
  20. Angle(PosXPointer, Resultant) → θ
  21. If(MagR ≟ ansR, "Good Job!", " ") → text20
  22. If(ansTheta ≟ theta, "Good Job!", " ") → text19
  23. Textfield(ansRi) → InputBox4
  24. Textfield(ansRj) → InputBox6
  25. If(ri ≟ ansRi ∧ rj ≟ ansRj, "Good Job!", " ") → text30

AI Drawing Prompt Reference

Draw a diagram illustrating vector addition using the unit vector method. Start by plotting two vectors with labeled magnitudes, then draw their horizontal and vertical components. Next, represent these components with unit vectors and combine them to form the resultant vector. Finally, verify the magnitude and direction of the resultant vector using coordinates and angles, and provide corresponding feedback messages.
The prompt above was compiled from the original drawing commands and is for reference only.