<< 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

microeconomics study part of the economy but macroeconomic study the whole economy
Olokun Reply
studying the whole economy, solving the problem of the economy and building up the economy
Olokun
micro means small while macro means large
Olokun
standard of living is the footsteps of an economy because it plays important role for country to have crucial view about their budget ,import and export
Olokun
it will be differ because economic agent will only take their views on some part of household
Olokun
can opportunity cost be zero
OBED Reply
how many types of transportation do we have
Jacob
yes. when a customer's purchasing power is high, he may have d ability to purchase all he needs, dt makes opportunity cost zero
George
please can give more explanation on this question
OBED
what are the factors production
PETER Reply
Labour capital entrepreneurs
Leta
Land,capital, labour,and the entrepreneur
Tantoh
I will like to know use of calculus in economics
JHUMA Reply
do they use it in economics?
Pranav
I want to know if I should take calculus or statistics and probability my senior year of highschool
Yahir
yes for example in monopolistic competitive market..... TR=TC* & THIS CALCULATED BY CHANGING( DERIVATIVE LAW) MR =MC ** WILL BE THE FORMULA THAT USE.
Leta
please in which topic in economic is the question coming from.
Tantoh
from PCF in economics
Leta
why is unitary proportional to responsiveness
Etim Reply
any tip for igcse economics exam?pls
Stacey Reply
well
The
What is a market
Divine Reply
what are the variables that affect demand
Divine
what are the variables that affect demand
Divine
what are the variables that affect demand
Divine
what are the variables that affect demand
Divine
what are the variables that affect demand
Divine
price of the related goods 2 price of the given commodity 3 income of the consumer 4 taste and preference 5 expectation in the future price
John
pls the taste and preference
Nas
explain briefly
Nas
a consumer taste and preference commodity changes for a time the man becomes
John
sorry sorry
John
is when the price of a commodity becomes high and can't afford example Samsung instead of iPhone
John
consumers who have high intense for goods will purchase the goods even if the price of that commodity increases because he or she preferred that commodity.people will be prefer iphone as its price increase
Yussif
as usual bad taste of preference is when a consumer regrets from one commodity to another in terms of the price
John
thanks alot
Nas
you're welcome
John
#Preference; #Income #Test
Dereje
#price Of Commodity #Income #Taste #Preference
Dereje
#Market is The Place Where Buyers And Sellers Are Exchanging Their Goods And service. #
Dereje
difference between macro and micro economics
Lawrence
Microeconomic Study about individual consumers market But Macroeconomis Study General economic Process Such As #Aggregate Demand #Aggregate Supples #GDp= #GNp
Dereje
nice so can u run down a brife discussion on GDP
Lawrence
good
Chinex
pls can someone differentiate between the perfectly elastic, perfectly inelastic and unitary
yhar Reply
and then again pls what are the types of elasticity, the methods of calculating it thank u
yhar
Perfectly inelastic is when the coefficient is equal to zero Unitary is when the coefficient is equal to one But am not sure if we have perfectly inelastic
John
I'm kind off confuse abt the PED, IED and co are they the types of elasticity we've
yhar
Yh the types are price elasticity cross and income elasticity of demand
John
do we've specific formulaes to calculate for each of them
yhar
yes. PED. changes in quantity demanded divided by changes in price
Vealmurugan
so pls what's the general name given to unitary, elastic n inelastic ? are the names given to the final result after doing the calculations?
yhar
P2-P1÷P1×100or Q2-Q1×Q1×100 PED
John
***tutor2u.net/economics/reference/price-elasticity-of-demand
Vealmurugan
They are elasticity coefficient
John
@John I don't get u well pls
yhar
whichone
John
P2-P1÷P1×100or Q2-Q1×Q1×100 PED @john pls tis is what m talking abt
yhar
Yh is the formula for PED
John
Pls are you having a for PED
John
thank u very
yhar
dy
Jobang
what is economics
Tayyeb
economics is a science which studies human behaviour as a relationship between ends and scarce means which have alternative use
John
is a science which study human behavior as a relationship between ends and scarce means which have alternative uses
Divine
yes this is because economic provide a body of knowledge on human economic principles under theories and these theories can be verified with real world data using science method in other words it was scientific method in arriving at solution identification of problem or basic data collection among
John
unitary ElasticWhen Elasticty =1 Perfectily Elastic When 0<1 inelastic when 0>
Dereje
Pls is anyone having the NovDec questions?
John Reply
No
Emmanuel
what is micro economics
Rakesh Reply
What is PPF
Endam
Production Possibility Frontier
John
It refers to a curve or graph which shows the possible contributions of maximum alternative of commodity that can be produced in an economy
John
thanks
Endam
Thanks John talkx of defination pls
Endam
I don't get you
John
guys Any One With Novdec Questions 2019?
Diana Reply
what did Adam Smith introduce?
Sunday Reply
what is supply
Awunyo Reply
supply relationship shows that the higher the price, the higher the quantity supplied. 
SDADY
what are the dissadvantages of large scale production
Atanga Reply
depreciate of quality taste
Kosiso
Some of the Disadvantages are:- 1. Production not according to individual Tastes 2. Monopoly 3. Not Flexible 4. Over-Production 5. Heavy loss and Dislocation 6. Decline of Cottage and Small Scale Industries 7. Adverse Effect on Labourers 8. Unequal Distribution of Wealth
Asrar
And what can be the advantages too
Enow
1.adequate satisfaction 2.reduce importation
Yussif
Reduce importation how pls
Enow
the country will have enough products.this will reduce the level of government expenditure on imported goods especially
Yussif
Some of Advantage 1. Division of Labour 2. More Production 3. Use of machines 4. Low Cost of Production 5. Standard Goods 6. Advertisements and Salesmanship
Asrar
Some of its disadvantages are : (i) Less Supervision (ii) Individual tastes ignored (iii) Absence of Personal Element (iv) Possibility of depression (v) Dependence on Foreign Markets (vi) International complications and war (vii) Cut-throat Competition (viii) Less Adaptability
Kalu
what are the types of trade cycle
Kenny Reply
depression
DG
in a comparison of the stages of meiosis to the stage of mitosis, which stages are unique to meiosis and which stages have the same event in botg meiosis and mitosis
Leah 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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