MathPlotAI Logo MathPlotAI

Vector Addition Using Scalar Components (Version 2)

Vector Addition Using Scalar Components (Version 2)
Loading the math board and drawing, please wait…
2015-07-25 08:59
VectorCoordinate GeometryGeometric Construction
This example demonstrates vector addition using scalar components, visualizing the result geometrically. Key math concepts include vectors, scalar components, vector addition, and coordinate geometry. Constructed with GeoGebra commands like Line, Segment, Point, Angle, and objects such as θ, θ_a, a, O, b, θ_b, c, vec_a, etc. Suitable for high school students and above to understand the geometric meaning of vector operations, and for use in related math competitions as an auxiliary teaching tool.

GeoGebra Commands & Parameters

  1. Line(O, ivec) → d
  2. Line(O, jvec) → e
  3. Segment(Ay, A) → f
  4. Segment(B_y, B) → g
  5. Segment(C, C_y) → h
  6. Segment(Ax, A) → i
  7. Segment(C_x, C) → j
  8. Segment(B, B_x) → k
  9. Segment(S, T) → t
  10. Segment(U, T) → a_1
  11. Segment(O, B) → b_1
  12. Segment(O, A) → c_1
  13. Segment(O, C) → d_1
  14. Point(e) → V
  15. Point(d) → W
  16. Point(d) → Z
  17. Point(e) → A_1
  18. Segment(O, V) → e_1
  19. Segment(O, Z) → g_1
  20. Segment(O, A_1) → h_1
  21. Segment(O, W) → i_1
  22. Angle(c_1, g_1) → θ2x
  23. Angle(c_1, e_1) → θ2y
  24. Angle(b_1, e_1) → θ1y
  25. Angle(b_1, i_1) → θ1x
  26. Angle(d_1, g_1) → θ3x
  27. Angle(d_1, h_1) → θ3y
  28. Angle(ivec, vec_R) → R_{angle}