## Multiplication of Vectors and Structure of 3D Euclidean Space

**Authors:** Miroslav Josipović

The text is intended as some motivational survey of geometric algebra in 3D. Proofs are
short and original. Multiplication of vectors is discussed in general, then basics of
geometric algebra are founded. Among others, the special relativity, quantum mechanics and
electromagnetic theories are discussed, operations on subspaces, dual, hyperbolic and
complex numbers, linear transformations, idempotents, nilpotents, rotations, functions on
multivectors, conformal model, calculus in geometric algebra, etc. Some problems are left
to reader to solve.
This is a new version with extended literature, software and list of names. Some typos are
corrected.

**Comments:** 82 Pages. Please, give me a feedback! Thank you!

**Download:** **PDF**

### Submission history

[v1] 2016-09-02 07:47:41

[v2] 2017-02-21 13:39:36

[v3] 2017-03-11 12:26:41

**Unique-IP document downloads:** 250 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*