GeoGebra
  • Create Lesson
GeoGebra
  • Home
  • News Feed
  • Resources
  • Profile
  • People
  • Classroom
  • App Downloads
About GeoGebra
Contact us: office@geogebra.org
Terms of Service – Privacy – License

© 2022 GeoGebra

spanning sets and linear combinations in 2D

Author:
Shawn Godin
The sketch below shows that two non-parallel vectors (blue) and (red) span . As a result, any other vector can be written as a linear combination of and , that is as for some . Hence, in a sense, and define a co-ordinate system where we can define any point (by way of a position vector whose "co-ordinates" are ).

New Resources

  • Area of a Circle
  • Interior and Exterior Angle Sum of a Triangle
  • A2_6.02 Evaluating trigonometric functions_1
  • Action Consequence
  • G_8.07 Area of triangles

Discover Resources

  • Level 8 portfolio
  • Proyeccion de un vector en otro
  • Standard Form Example
  • Copia de Problema de Optimización
  • Second contour points of the intersection of a torus

Discover Topics

  • Vectors 2D (Two-Dimensional)
  • Logarithmic Functions
  • Right Triangles
  • Square
  • Statistical Characteristics

GeoGebra

  • About
  • Partners
  • GeoGebra on Tests
  • News Feed
  • App Downloads

Apps

  • Calculator Suite
  • Graphing Calculator
  • 3D Calculator
  • CAS Calculator
  • Scientific Calculator

Resources

  • Classroom Resources
  • Learn GeoGebra
  • Classroom
  • Geometry
  • Notes
  • Terms of Service Privacy License
  • Facebook Twitter YouTube