<< Chapter < Page Chapter >> Page >
  • The angle is 0 degrees to 360 degrees measured as a counter-clockwise rotation from the positive x axis.
  • The angle is 0 degrees to +180 degrees measured as a counter-clockwise rotation from the positive x axis, or is 0 degrees to -180 degrees measured as a clockwise rotation fromthe positive x axis.

Kjell, Chapter 5

What is the direction of the vector represented by (5,-5)T

  • A. 0 degrees
  • B. 45 degrees
  • C. 315 degrees
  • D.-45 degrees

Answer 18

Question 19

True or False: The formula for the direction of a 2D vector is:

angle of (x, y)T = arc tan( y/x )

Answer 19

Question 20

What is the direction of the vector represented by (5,-5)T

  • A. 45 degrees
  • B. 135 degrees
  • C. -45 degrees
  • D. -135 degrees

Answer 20

Question 21

What is the direction of the vector represented by (-5,-5)T

  • A. 45 degrees
  • B. 135 degrees
  • C. -45 degrees
  • D. -135 degrees

Answer 21

Question 22

A vector has a length of 4 and an orientation of 150 degrees. Which of the following transpose matrices properly describes the vector?

  • A. (-3.464,2.0)T
  • B. (-2.0,3.464)T

Answer 22

Question 23

True or False: 2*pi radians = 180 degrees

where the asterisk indicates multiplication and pi is the constant that begins with 3.14159

Answer 23

What is the meaning of the following two images?

These images were inserted here simply to insert some space between the questions and the answers to keep them from being visible on the screen at thesame time.

Spacer image of a rabbit and a penguin.

This image was also inserted for the purpose of inserting space between the questions and the answers.

Spacer image of a penguin and some houses.

Answers

Answer 23

False. There are 2*pi radians in a full circle, so

2*pi radians = 360 degrees

Back to Question 23

Answer 22

A. (-3.464,2.0)T

Kjell, Chapter 5

Back to Question 22

Answer 21

D. -135 degrees

Kjell, Chapter 5

Back to Question 21

Answer 20

C. -45 degrees

Kjell, Chapter 5

Back to Question 20

Answer 19

True. Arc tan( z ) means "find the angle that has a tangent of z." When you do this with a calculator, remember that the answer may be in radians or in degrees. Some calculators give you the option of using use either format.

Kjell, Chapter 5

Back to Question 19

Answer 18

C. 315 degrees, or

D.-45 degrees

depending on the convention in use.

Kjell, Chapter 5

Back to Question 18

Answer 17

True

Kjell, Chapter 5

Back to Question 17

Answer 16

False. If v is a vector, then -v is a vector pointing in the opposite direction.

Kjell, Chapter 4.

Back to Question 16

Answer 15

False. It is possible for the sum of the squared elements to be equal without the elements themselves being equal. In that case, the lengths are the same but the directions are not the same.

Kjell, Chapter 4.

Back to Question 15

Answer 14

True. Since corresponding elements must be equal, so corresponding squares must be equal, so the sum must be equal, so the length must be equal.

Kjell, Chapter 4

Back to Question 14

Answer 13

False. The length property of a vector must be zero or positive. It cannot be negative.

Kjell, Chapter 4.

Back to Question 13

Answer 12

True

Kjell, Chapter 4

Back to Question 12

Answer 11

C. 6

Kjell, Chapter 4

Back to Question 11

Answer 10

False. The correct statement follows where |(x,y,z)T| represents a three-dimensional vector:

|(x,y,z)T| = sqrt(x^2 + y^2 + z^2)

Kjell, Chapter 4

Back to Question 10

Answer 9

True

Kjell, Chapter 4

Back to Question 9

Answer 8

False. The following statement is true where the left angle bracket followed by the equal sign indicates "less than orequal." This is known as the "triangle inequality."

|u + v| is less than or equal |u| + |v|

(Note that there is a problem with displaying the left angle bracket using my xhtml to cnxml converter program. That is why it is spelled out in theabove statement.)

Kjell, Chapter 4

Back to Question 8

Answer 7

C. 5

Kjell, Chapter 4

Back to Question 7

Answer 6

C. 5

Kjell, Chapter 4

Back to Question 6

Answer 5

C. 10

Kjell, Chapter 4

Back to Question 5

Answer 4

C. 4

The length of the vector is 4 units.

Kjell, Chapter 4

Back to Question 4

Answer 3

False. The correct statement is:

When a 2D vector is aligned with the y axis, the column matrix that represents it has a non-zero value in the second element, and zero for the firstelement.

Kjell, Chapter 4

Back to Question 3

Answer 2

True. as in (3,0)T

Kjell, Chapter 4

Back to Question 2

Answer 1

B. 3

The length of the vector is 3 units.

Kjell, Chapter 4

Back to Question 1

Miscellaneous

This section contains a variety of miscellaneous information.

Housekeeping material
  • Module name: Game0130r: Review: Putting the Game-Math Library to Work
  • File: Game0130r.htm
  • Published: 09/22/13
  • Revised: 12/27/14
Disclaimers:

Financial : Although the Connexions site makes it possible for you to download aPDF file for this module at no charge, and also makes it possible for you to purchase a pre-printed version of the PDF file, youshould be aware 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 ofthe module.

In the past, unknown individuals have copied my modules from cnx.org, converted them to Kindle books, and placed them for sale onAmazon.com showing me as the author. I neither receive compensation for those sales nor do I know who does receive compensation. If youpurchase such a book, please be aware that it is a copy of a module that is freely available on cnx.org and that it was made andpublished without my prior knowledge.

Affiliation : I am a professor of Computer Information Technology at Austin Community College in Austin, TX.

-end-

Questions & Answers

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
Maciej
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
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
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
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Prasenjit Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
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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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