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A new ColMatrix3D object

Listing 5 creates a new ColMatrix3D object with the x and y-axes coordinate values matching the corresponding values for the user specifiedvector. It executes the expression shown in Listing 5 to compute the value of the z-axis coordinate that will cause the new vector to be perpendicular to theuser-specified vector. (The expression in Listing 5 matches the last equation in Figure 6 .)

A new Vector3D object

Then it uses the ColMatrix3D object described above to create, normalize, scale, and draw the first perpendicular vector. Following that, thecode negates the perpendicular vector to create another perpendicular vector that points in the opposite direction.

Along the way, some information is displayed on the command-line screen.

The most important code

The most important code in Listing 5 , insofar as the objective of the program is concerned, is the expression that computes the z-axis coordinate value thatwill cause the new vector to be perpendicular to the user-specified vector.

Remainder of the actionPerformed method

Listing 6 does essentially the same thing two more times to implement the other two equations shown in Figure 6 , creating and drawing four more perpendicular vectors in the process.

Listing 6 . Remainder of the actionPerformed method.
if(Math.abs(yCoor)>0.001){ tempMatrix = new GM02.ColMatrix3D(xCoor,-(xCoor*xCoor + zCoor*zCoor)/yCoor,zCoor); tempVec = new GM02.Vector3D(tempMatrix);System.out.println(tempVec); //Normalize and scale the perpendicular vector.tempVec = tempVec.normalize().scale(50.0); tempVec.draw(g2D,new GM02.Point3D(new GM02.ColMatrix3D(0,0,0))); tempVec.negate().draw(g2D,new GM02.Point3D(new GM02.ColMatrix3D(0,0,0))); System.out.println(vecA.angle(tempVec));}//end ifif(Math.abs(xCoor)>0.001){ tempMatrix = new GM02.ColMatrix3D(-(yCoor*yCoor + zCoor*zCoor)/xCoor, yCoor,zCoor); tempVec = new GM02.Vector3D(tempMatrix);System.out.println(tempVec); //Normalize and scale the perpendicular vector.tempVec = tempVec.normalize().scale(50.0); tempVec.draw(g2D,new GM02.Point3D(new GM02.ColMatrix3D(0,0,0))); tempVec.negate().draw(g2D,new GM02.Point3D(new GM02.ColMatrix3D(0,0,0))); System.out.println(vecA.angle(tempVec));}//end if myCanvas.repaint();//Copy off-screen image to canvas.System.out.println();//blank line }//end actionPerformed//----------------------------------------------------//

Listing 6 also causes the off-screen image to be displayed on the canvas.

That concludes the explanation of the program named DotProd3D06 .

The program named DotProd3D04

The purpose of this program is to serve as a counterpoint to the program named Prob3D03 , which demonstrates backface culling. (I will explain the program named Prob3D03 shortly.)

This program draws the 3D object shown in Figure 1 , while the program named DotProd3D03 draws the 3D object shown in Figure 2 . The difference between the two is that the object drawn by this program ( Figure 1 ) does not incorporate backface culling to hide the lines on the back of the object. The object in Figure 2 does incorporate backface culling. The difference is easy to see.

Questions & Answers

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
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.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
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?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
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
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
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?
Damian Reply
what king of growth are you checking .?
Renato
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
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
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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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