IOLA Task 3: 3D Vectors, Exponential Functions, and Boxplot Exploration

This example presents an interactive geometry model that explores 3D vectors, exponential function graphs, angle relationships, and boxplots in an integrated way. Users can adjust vector coordinates, function parameters, and angle values via multiple input boxes, instantly seeing changes in the geometric figures and the associated statistical boxplot. The core mathematical concepts covered include three‑dimensional vector operations, properties of exponential functions, angle measurement, fractional ratios, and the construction of boxplots. In GeoGebra the construction mainly uses Textfield, Polygon, and a series of input objects (such as InputBox1‑9 and variables a‑n) to enable dynamic parameter control and real‑time updates. The activity is suitable for high‑school and college students, especially for courses on vector geometry, function graphing, and data visualization.