Introduction

The following project studies how the coordinates of a point as a robot sees it change when the robot rotates.

Background

Definition of orthonormal coordinate system, dot product of 2 vectors. (see chapter 6).

Project Description

Postscript file

The Report

Introduction and Summary : This section should give a very brief account of the subject matter discussed in your report.

Summary of Ideas: Provide a 1-2 page summary of how one uses linear algebra techniques to solve the problem of how the coordinates of a point as a robot sees it change when the robot rotates. Use your own words -- do not simply cut and paste the words from the project into your report!

Exercises: Solve the 3 exercises described in the project. In the project description, you are given many strong hints and many answers. It does not suffice to simply echo these answers back to me in your report! You must show me your work, and justify all your answers. Show me that you know what you are doing with your calculations by including sentences describing your approach. In other words, convince me that you did not simply copy the answers with your brain turned off.

Conclusion : Give a satisfying concluding comment to your report.

Points

• Mathematical Methodology: Your calculations, approach and procedure in your solution of the exercises should be clear, complete and correct. -- 7 points
  
  
• Clarity of your explanations / summary: It is very important to be able to communicate your solution clearly to non-experts -- 4 points
  
  
• Good Grammar: Grammar, spelling, general professionality of completed document (the spell check is just the beginning....) -- 2 points
  
  
• Mathematical Notation: Use correct mathematical notation in the correct context -- 2 points
  
  
• Extra Credit Any imaginative ideas, background stories, mathematical/artistic additions which extend the topic in some (tasteful) way. -- 3 points
  

References