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By now, you should have no difficulty understanding how the output shown in Figure 3 was produced by the code shown in Listing 8 . Note, however, that the last value on the third row should be 0.0 instead of the extremelysmall value shown. This is an example of an inherent problem having to do with comparing double or float values with other double or float values for absolute equality.

Documentation for the GM2D03 library

Click here to download a zip file containing standard javadoc documentation for the library named GM2D03 . Extract the contents of the zip file into an empty folder and open the filenamed index.html in your browser to view the documentation.

Although the documentation doesn't provide much in the way of explanatory text (see Listing 11 and the explanations given above) , the documentation does provide a good overview of the organization and structure ofthe library. You may find it helpful in that regard.

Homework assignment

Your homework assignment for this module was to study Kjell's tutorial through Chapter 2 - Column and Row Matrix Addition .

The homework assignment for the next module is to study the Kjell tutorial through Chapter 3 - Vector Addition .

In addition to studying the Kjell material, you should read at least the next two modules in this collection and bring your questions about thatmaterial to the next classroom session.

Finally, you should have begun studying the physics material at the beginning of the semester and you should continue studying one physics moduleper week thereafter. You should also feel free to bring your questions about that material to the classroom for discussion.

Run the programs

I encourage you to copy the code from Listing 12 , Listing 13 , and Listing 14 . Compile the code and execute it in conjunction with the game-math libraryprovided in Listing 11 . Experiment with the code, making changes, and observing the results of your changes. Make certain that you can explain why your changesbehave as they do.


In this module, you learned how to compare column matrices for equality, compare two points for equality, compare two vectors for equality, add onecolumn matrix to another, subtract one column matrix from another, and get a displacement vector from one point to another.

What's next?

The next module in the collection will show one way for you to visualize column matrices in graphical form.

In the module following that one, you will learn:

  • How to add two or more vectors.
  • About the head-to-tail rule in vector addition.
  • About the vector addition parallelogram.
  • About the relationship between the length of the sum of vectors and the sum of the lengths of the vectors.
  • How to add a vector to a point.
  • How to get the length of a vector.
  • How to represent an object in different coordinate frames.


This section contains a variety of miscellaneous information.

Housekeeping material
  • Module name: GAME2302-0115: Working with Column Matrices, Points, and Vectors
  • File: Game0115.htm
  • Published: 10/14/12
  • Revised: 02/01/16

Financial : Although the Connexions site makes it possible for you to download a PDF file for thismodule at no charge, and also makes it possible for you to purchase a pre-printed version of the PDF file, you should beaware that some of the HTML elements in this module may not translate well into PDF.

I also want you to know that, I receive no financial compensation from the Connexions website even if you purchase the PDF version of the module.

In the past, unknown individuals have copied my modules from cnx.org, converted them to Kindle books, and placed them for sale on Amazon.com showing me as the author. Ineither receive compensation for those sales nor do I know who does receive compensation. If you purchase such a book, please beaware that it is a copy of a module that is freely available on cnx.org and that it was made and published withoutmy prior knowledge.

Affiliation : I am a professor of Computer Information Technology at Austin Community College in Austin, TX.

Questions & Answers

what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
yes that's correct
I think
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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