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Scalar Multiplication of a Vector by Ku, Yin Bon (Albert)

Scalar Multiplication of a Vector by Ku, Yin Bon (Albert)
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2015-09-01 17:41
VectorCoordinate GeometryGeometric Construction
This example demonstrates the geometric meaning of vector scalar multiplication, showing how scaling factors alter vector length without changing direction. Core math concepts include vectors, scalar multiplication, and Euclidean geometry. GeoGebra commands like Vector, Segment, and Polygon are used to construct vectors, scales, and shapes. Suitable for high school students learning vector operations and geometric representations.

GeoGebra Commands & Parameters

  1. Vector(O, P) → u
  2. Segment(Q, F) → e
  3. Segment(P, E) → g
  4. Segment(F, O) → f
  5. Segment(O, E) → h
  6. Polygon(O, Q, F) → poly1, f_1, o, q
  7. Polygon(O, P, E) → poly3, e_2, o_2, p
  8. Segment(D, F) → i
  9. Segment(F, B) → j
  10. Segment(A, E) → k
  11. Segment(E, C) → l
  12. Polygon(F, B, O) → poly2, o_1, f_2, b
  13. Polygon(E, A, O) → poly4, o_3, e_1, a
  14. Polygon(E, C, O) → poly5, o_4, e_3, c
  15. Polygon(F, D, O) → poly6, o_5, f_3, d