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Exercise 6 on Vectors

Exercise 6 on Vectors
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2017-01-24 22:54
VectorParametric Equation
In collections LINEAR FUNCTIONS
This example demonstrates vector parametric curves and conic sections. Using GeoGebra commands such as Random, RandomElement, and Textfield, dynamic vectors and curves can be constructed. Suitable for high school math education and learning concepts related to vectors, parametric equations, and conic sections.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → d_2
  2. Random(-10, 10) → b
  3. Random(-10, 10) → a
  4. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  5. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  6. Textfield(h) → InputBox1
  7. Random(-10, 10) → b_1
  8. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c_1
  9. Random(-10, 10) → d_1
  10. Textfield(m) → InputBox2
  11. Textfield(f) → InputBox4
  12. TableText({{A1_1, B_1, C_1, D_1}, {-3, g(-3), h(-3), f(-3)}, {-2, g(-2), h(-2), f(-2)}, {-1, g(-1), h(-1), f(-1)}, {0, g(0), h(0), f(0)}, {1, g(1), h(1), f(1)}, {2, g(2), h(2), f(2)}, {3, g(3), h(3), f(3)}, {1, e, l, k}}, "|_r") → text3_1

AI Drawing Prompt Reference

Create a dynamic graphic showing vector parametric curves and conic sections. First, randomly generate the coordinates of the vector's start and end points, then draw the vector using these coordinates. Next, generate coefficients for the parametric equation and draw the conic section using these coefficients. Finally, input a function expression via text boxes to dynamically display the values of points on the curve.
The prompt above was compiled from the original drawing commands and is for reference only.