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  • Listing 1 . Source code for the method named GM02.ColMatrix3D.dot.
  • Listing 2 . Source code for the method named GM02.Vector3D.dot.
  • Listing 3 . Source code for the method named GM02.Vector3D.angle.
  • Listing 4 . The actionPerformed method in the program named DotProd2D01.
  • Listing 5 . Format the dot product value for display in the GUI.
  • Listing 6 . Beginning of the actionPerformed method in the program named DotProd2D02.
  • Listing 7 . Compute the dot product and the angle between the two vectors.
  • Listing 8 . Source code for the game-math library named GM02.
  • Listing 9 . Source code for the program named DotProd2D01.
  • Listing 10 . Source code for the program named DotProd2D02.
  • Listing 11 . Source code for the program named DotProd3D01.
  • Listing 12 . Source code for the program named DotProd3D02.


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

I won't repeat everything that Dr. Kjell has to say. However, there are a few points that I will summarize in this section.

Basic definition of the vector dot product

The vector dot product is a special way to multiply two vectors to produce a real result. A description of the vector dot product follows.

The vector dot product:

The vector dot product of two vectors is the product of the lengths of the vectors multiplied by the cosine of the angle between them

By the angle between them , I mean the angle that would be formed if you were to draw the two vectors with theirtails in the same location.

For example, Figure 3 shows a black vector and a magenta vector drawn with their tails at the origin. Eyeballing the picture suggests that the anglebetween the two vectors is forty or fifty degrees.

Figure 3 Two vectors with their tails at the origin, program DotProd2D02.

Missing image.

Can do more than eyeball

Fortunately, we can do more than eyeball the angle between two vectors. Figure 3 shows the screen output produced by the program named DotProd2D02 that I will explain in this module. DotProd2D02 is a 2D program. I will also explain a 3D version named DotProd3D02 in this module as well.

In Figure 3 , the top four user input fields allow the user to enter the x and y coordinate values of two vectors according to the labels that identify thosefields. When the user clicks the OK button, the first vector is drawn in black with its tail at the origin and the second vector is drawn in magenta withits tail at the origin. The dot product of the two vectors is computed and displayed in the bottom left text field, and the angle between the two vectorsis computed and displayed in the bottom right text field.

Don't need to know the angle between the vectors

Upon seeing the description of the dot product given above , you may reasonably be concerned about needing to know the angle between the vectors before you can compute thedot product. Fortunately, as you will see later , it is possible to compute the dot product of two vectors without knowing the angle. In fact, being able to compute the dot product is oneway to determine the angle between two vectors.

Questions & Answers

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.
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 to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
How can I make nanorobot?
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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