Vector Grapher

Loading the math board and drawing, please wait…

2013-01-13 14:16

In collections MTH-5173-2-St. Lawrence Seaway

This GeoGebra example demonstrates the dynamic graphing and scaling of vectors. The core mathematical concepts include vector representation, scalar multiplication (scaling), and coordinate geometry relationships between points and vectors. Key construction elements involve the Vector command to create vectors, TextField for labels, Point for defining locations, and Length for measurements; objects such as input boxes (inputBox1, inputBox2) allow user parameter input, while points like A and B serve as anchors, and vectors like u and v illustrate direction. It is suitable for high school or introductory college mathematics courses on vectors, providing an interactive way to explore vector properties.

GeoGebra Commands & Parameters

Vector(A, B) → u
Vector((0, 0), (x(B) - x(A), y(B) - y(A))) → v
Textfield(A) → inputBox1
Textfield(B) → inputBox2
Vector(A, (x(B), y(A))) → w
Vector((x(B), y(A)), (x(B), y(B))) → z
Vector((0, 0), (x(u), 0)) → b
Point(b) → C
Point(v) → D
Vector(C, D) → d
Length(u) → f