# 1.16 Game 2302-0150: applications of the vector dot product  (Page 9/14)

 Page 9 / 14

The new code in Listing 8 is highlighted by a long explanatory comment near the middle of Listing 8 . I will leave it as an exercise for the student to think about the rationale that was used to decide which lines to draw and which linesto suppress depending on the algebraic sign of the dot product between the two vectors.

Otherwise, no explanation of the code should be necessary beyond the embedded comments.

## Homework assignment

The homework assignment for this module was to study the Kjell tutorial through Chapter 10, Angle between 3D Vectors.

The homework assignment for the next module is to study the Kjell tutorial through Chapter 11, Projections.

In addition to studying the Kjell material, you should read at least the next two modules in this collection and bring your questions about that material tothe 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 program

I encourage you to copy the code from Listing 9 through Listing 13 . Compile the code and execute it in conjunction with the game-math library named GM02 in Listing 9 . Experiment with the code, making changes, and observing the results of your changes. Make certain that youcan explain why your changes behave as they do.

## Summary

In this module, you learned how to apply the vector dot product to three different applications. You learned:

• how to use the dot product to compute nine different angles of interest that a vector makes with various elements in 3D space,
• you learned how to use the dot product to find six of the infinite set of vectors that are perpendicular to a given vector as shown in Figure 4 , and
• you learned how to use the dot product to perform back-face culling to convert the image in Figure 1 to the image in Figure 2 .

## What's next?

In the next module, you will learn about first-person computer games in general, and how to use the game-math library to write a first-person game in a3D world using the game math library.

## Miscellaneous

This section contains a variety of miscellaneous information.

Housekeeping material
• Module name: GAME 2302-0150: Applications of the Vector Dot Product
• File: Game0150.htm
• Published: 10/23/12
• Revised: 02/01/16
Disclaimers:

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.

What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
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NANO
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
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That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
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Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
how did you get the value of 2000N.What calculations are needed to arrive at it
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