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Angles Between a Vector and the Axes

Angles Between a Vector and the Axes
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2016-07-26 15:44
AngleVectorCoordinate Geometry
This applet demonstrates the angles between a vector and the x, y, and z axes, and how to calculate and represent these angles using GeoGebra commands such as Vector, Angle, and UnitVector. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Vector(O, A) → u
  2. Point(yAxis) → C_y
  3. Angle(A, O, C_y) → α_y
  4. Point(xAxis) → C_x
  5. Angle(C_x, O, A) → α_x
  6. Point(zAxis) → C_z
  7. Angle(A, O, C_z) → α_z
  8. UnitVector(u) → u_n
  9. Segment(O, C_x) → s_x
  10. Segment(O, C_z) → s_z
  11. Segment(O, C_y) → s_y
  12. Line(B, u) → d
  13. Point(d) → P_d
  14. Vector(P_d, B) → w
  15. Line(O, A) → e
  16. Textfield(A) → InputBox1
  17. Vector(A_x) → u_x
  18. Vector(A_x, A_y) → u_y
  19. Vector(A_y, A) → u_z