MathPlotAI Logo MathPlotAI

Area of Parallelogram by A. G. Gomez ([email protected])

Area of Parallelogram by A. G. Gomez (agg29@ou.ac.uk)
Loading the math board and drawing, please wait…
2014-05-20 01:57
PolygonVectorMatrix
This example demonstrates how to find the areas of parallelograms and triangles using matrices, and even the volume of a parallelepiped. It uses commands like Vector, Polygon, and Determinant in GeoGebra. Suitable for students learning coordinate and solid geometry.

GeoGebra Commands & Parameters

  1. Textfield(a_1) → inputBox1
  2. Textfield(a_2) → inputBox2
  3. Vector(O, A) → u
  4. Textfield(b_1) → inputBox3
  5. Textfield(b_2) → inputBox4
  6. Textfield(c_1) → inputBox5
  7. Textfield(c_2) → inputBox6
  8. Vector(O, B) → v
  9. Vector(O, C) → w
  10. Polygon(O, A, P, B) → poly1, p'''', p', p'', p'''
  11. Textfield(a_3) → inputBox7
  12. Textfield(b_3) → inputBox8
  13. Textfield(c_3) → inputBox9
  14. Determinant(M) → d_M
  15. Determinant(N) → d_N
  16. Polygon(A, C, B) → poly2, b, a, c
  17. Determinant(Q) → d_Q

AI Drawing Prompt Reference

Draw a parallelogram with point O as the origin. Input coordinates for points A, B, and C to get vectors u, v, and w. Construct a parallelogram using points O, A, B, and C. Calculate the determinant of vectors u and v to find the area of the parallelogram. Finally, construct triangle ABC and calculate its area.
The prompt above was compiled from the original drawing commands and is for reference only.