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- Game 2302-0125: vector addition
Learn how to add two or more vectors. Also learn 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 lengths of the individual vectors in the sum, how to add a vector to a point, how to get the length of a vector, and how to represent an object in different coordinate frames.
Table of contents
Preface
This module is one in a collection 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 couple of modules, you learned:
- How to compare column matrices for equality
- How to compare two points for equality
- How to compare two vectors for equality
- How to add one column matrix to another
- How to subtract one column matrix from another
- How to get a displacement vector from one point to another
What you will learn
In this module 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
lengths of the individual vectors in the sum
- 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
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.
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Figure 1 . Screen output from the program named VectorAdd01.
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Figure 2 . Screen output from CoordinateFrame01 at startup.
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Figure 3 . Screen output from CoordinateFrame01 after changes to the coordinate frame.
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Figure 4 . Screen output from the program named VectorAdd02.
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Figure 5 . Graphic screen output from the program named VectorAdd03.
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Figure 6 . Command-line output from the program named VectorAdd03.
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Figure 7 . Screen output from the program named VectorAdd04.
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Figure 8 . Screen output from Exercise 1.
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Figure 9 . Screen output from Exercise 2.
Listings
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Listing 1 . The add method of the GM2D04.Vector class.
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Listing 2 . The getLength method of the GM2D04.Vector class.
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Listing 3 . The addVectorToPoint method of the GM2D04 class.
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Listing 4 . Beginning of the program named VectorAdd01.
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Listing 5 . Beginning of the method named drawOffScreen.
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Listing 6 . The method named setCoordinateFrame.
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Listing 7 . Adding two vectors.
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Listing 8 . Draw vecA in RED with its tail at the origin.
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Listing 9 . Draw vecB in GREEN head-to-tail with vecA.
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Listing 10 . Draw sumOf2 in MAGENTA with its tail at the origin.
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Listing 11 . Extending the example to three vectors.
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Listing 12 . The actionPerformed method.
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Listing 13 . The setCoordinateFrame method.
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Listing 14 . Beginning of the drawOffScreen method.
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Listing 15 . Define a point to position the vectors.
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Listing 16 . Remaining code in the drawOffScreen method.
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Listing 17 . Beginning of the method named drawOffScreen of the program named VectorAdd02.
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Listing 18 . Do the same operations in a different order.
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Listing 19 . Source code for the game-math library named GM2D04.
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Listing 20 . Source code for the program named VectorAdd01.
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Listing 21 . Source code for the program named CoordinateFrame01.
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Listing 22 . Source code for the program named VectorAdd02.
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Listing 23 . Source code for the program named VectorAdd03.
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Listing 24 . Source code for the program named VectorAdd04.
Questions & Answers
how does Neisseria cause meningitis
is the branch of biology that deals with the study of microorganisms.
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
How bacteria create energy to survive?
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
which site have a normal flora
Many sites of the body have it
Skin
Nasal cavity
Oral cavity
Gastro intestinal tract
Safaa
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
part of a tissue or an organ being wounded or bruised.
Wilfred
what term is used to name and classify microorganisms?
Binomial nomenclature
adeolu
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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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