Vectors: Introduction (1) - Dynamic and Modifiable
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Vector Operations
This GeoGebra example provides an interactive and modifiable introduction to vectors, demonstrating their geometric representation and key properties. It shows how vectors are defined by direction and magnitude, and how they relate to points, distances, and geometric shapes such as triangles and quadrilaterals. The core mathematical concepts include vector addition (triangle rule), vector scaling, distance calculation, and the connection to isosceles triangles, complex numbers, and binomial distribution. The construction uses GeoGebra commands such as Intersect, Dilate, Vector, Distance, and Textfield, along with InputBox objects to allow dynamic modification of parametersasi. This makes it suitable for high school and college students learning vector basics, as well as for teachers demonstrating vector concepts in an interactive classroom setting.
GeoGebra Commands & Parameters
Intersect(f, g) → CDilate(A, If[0 < a ≤ 1, 1 - a, 0], C) → A'Vector(A, A') → uDilate(C, If[1 < a ≤ 2, 2 - a, 0], B) → C'Vector(C, C') → vDistance(A, C) → distanceACDistance(C, B) → distanceCBDilate(A, If[2 < a ≤ 3, 3 - a, 0], B) → A'_1Vector(A, A'_1) → wDistance(A, B) → distanceABTextfield(n) → InputBox1Textfield(i) → InputBox2