# 1.5 Game 2302-0115: working with column matrices, points, and

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Learn how to compare column matrices for equality, compare two points for equality, compare two vectors for equality, add one column matrix to another, subtract one column matrix from another, and get a displacement vector from one point to another.

## Preface

This module is one in a series of modules designed for teaching GAME2302 Mathematical Applications for Game Development at Austin Community College in Austin, TX.

What you have learned

In the previous module, you learned how to update the game-math library to provide new capabilities including the addition of graphics and set methods for column matrices, points, vectors, and lines. You also learned how to draw onoff-screen images.

What you will learn

In this module, you will learn 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.

## Viewing tip

I recommend that you open another copy of this module in a separate browser window and use the following links to easily find and view the Figuresand Listings while you are reading about them.

## Figures

• Figure 1 . Screen output from the program named ColMatrixEquals01.
• Figure 2 . Screen output from the program named DisplacementVector01.
• Figure 3 . Screen output from the program named ColMatrixAddSubtract01.
• Figure 4 . Text output from Exercise 1.
• Figure 5 . Text output from Exercise 2.
• Figure 6 . Text output from Exercise 3.

## Listings

• Listing 1 . Overridden equals method of the GM2D03.ColMatrix class.
• Listing 2 . Overridden equals method of the GM2D03.Point class.
• Listing 3 . The getColMatrix method of the GM2D03.Point class.
• Listing 4 . Beginning of the ColMatrixEquals01 class.
• Listing 5 . Remainder of the ColMatrixEquals01 class.
• Listing 6 . The getDisplacementVector method of the GM2D03.Point class.
• Listing 7 . The program named DisplacementVector01.
• Listing 8 . Source code for the program named ColMatrixAddSubtract01.
• Listing 9 . Source code for the add method of the GM2D03.ColMatrix class.
• Listing 10 . Source code for the subtract method of the GM2D03.ColMatrix class.
• Listing 11 . Source code for game-math library named GM2D03.
• Listing 12 . Source code for the program named ColMatrixEquals01.
• Listing 13 . Source code for the program named DisplacementVector01.
• Listing 14 . Source code for the program named ColMatrixAddSubtract01.

## Preview

As mentioned earlier, in this module you will learn how to:

• Compare two column matrices for equality.
• Compare two points for equality.
• Compare two vectors for equality.
• Add one column matrix to another.
• Subtract one column matrix from another.
• Get a displacement vector from one point to another.

what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
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
Rafiq
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
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
How can I make nanorobot?
Lily
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
how can I make nanorobot?
Lily
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?
Damian
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
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