FROM GEOMETRY TO ALGEBRA - I :

THE EUCLIDEAN SPACES 

The aim of this chapter is to show how mathematical representation of some
physical concepts, and problems in geometry lead to the study of algebraic equations.

Sections
(1.1) Vectors in space
(1.2) Addition and scalar multiplication of vectors
(1.4) Basis for vectors in space
Interactive Visualizations:
Applet : 1.1   Localized vector
Applet : 1.2   Addition of vectors
Applet : 1.3   Associativity of the sum of vectors
Applet : 1.4   Scalar multiplication of vectors
Applet : 1.5   Vector equation of a line
Applet : 1.6   Vector equation of plane
Applet : 1.7   Midpoints of a quadrilateral form a parallelogram
Applet : 1.8   Medians of triangle are concurrent and divide each median in the
                        ratio 2:1
Interactive Quizzes:
Quiz 1.1