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Scalar Multiplication of a Vector by Mathguru

Scalar Multiplication of a Vector by Mathguru
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2012-12-28 14:03
VectorCoordinate GeometrySlider Animation
This example demonstrates scalar multiplication of a vector. By adjusting the slider, the scalar value can be changed to observe the vector's transformation. The construction uses Vector, Point, Segment, Distance, and other GeoGebra objects. Suitable for students at middle school level and above to learn basic vector concepts.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Vector(A, B) → u
  3. Point(w) → C
  4. Segment(C, B) → d
  5. Distance(C, d) → distanceCd
  6. Point(w) → D
  7. Segment(C, D) → magw
  8. Segment(D, C) → f

AI Drawing Prompt Reference

Draw a diagram showing scalar multiplication of a vector, including coordinate axes, a vector, a point, a segment, and a slider. Adjust the vector's length by moving the slider to observe changes. Start by plotting the intersection of the axes, then draw a vector from the origin. Mark a point at the end of the vector and draw a segment connecting this point to the origin. Adjust the vector's length based on the slider value and draw segments representing the vector's magnitude and its negative.
The prompt above was compiled from the original drawing commands and is for reference only.