<< 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

show that the set of all natural number form semi group under the composition of addition
Nikhil Reply
what is the meaning
Dominic
explain and give four Example hyperbolic function
Lukman Reply
_3_2_1
felecia
⅗ ⅔½
felecia
_½+⅔-¾
felecia
The denominator of a certain fraction is 9 more than the numerator. If 6 is added to both terms of the fraction, the value of the fraction becomes 2/3. Find the original fraction. 2. The sum of the least and greatest of 3 consecutive integers is 60. What are the valu
SABAL Reply
1. x + 6 2 -------------- = _ x + 9 + 6 3 x + 6 3 ----------- x -- (cross multiply) x + 15 2 3(x + 6) = 2(x + 15) 3x + 18 = 2x + 30 (-2x from both) x + 18 = 30 (-18 from both) x = 12 Test: 12 + 6 18 2 -------------- = --- = --- 12 + 9 + 6 27 3
Pawel
2. (x) + (x + 2) = 60 2x + 2 = 60 2x = 58 x = 29 29, 30, & 31
Pawel
ok
Ifeanyi
on number 2 question How did you got 2x +2
Ifeanyi
combine like terms. x + x + 2 is same as 2x + 2
Pawel
x*x=2
felecia
2+2x=
felecia
×/×+9+6/1
Debbie
Q2 x+(x+2)+(x+4)=60 3x+6=60 3x+6-6=60-6 3x=54 3x/3=54/3 x=18 :. The numbers are 18,20 and 22
Naagmenkoma
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 113?
mariel Reply
Mark = x,. Don = 3x + 1 x + 3x + 1 = 113 4x = 112, x = 28 Mark = 28, Don = 85, 28 + 85 = 113
Pawel
how do I set up the problem?
Harshika Reply
what is a solution set?
Harshika
find the subring of gaussian integers?
Rofiqul
hello, I am happy to help!
Shirley Reply
please can go further on polynomials quadratic
Abdullahi
hi mam
Mark
I need quadratic equation link to Alpa Beta
Abdullahi Reply
find the value of 2x=32
Felix Reply
divide by 2 on each side of the equal sign to solve for x
corri
X=16
Michael
Want to review on complex number 1.What are complex number 2.How to solve complex number problems.
Beyan
yes i wantt to review
Mark
16
Makan
x=16
Makan
use the y -intercept and slope to sketch the graph of the equation y=6x
Only Reply
how do we prove the quadratic formular
Seidu Reply
please help me prove quadratic formula
Darius
hello, if you have a question about Algebra 2. I may be able to help. I am an Algebra 2 Teacher
Shirley Reply
thank you help me with how to prove the quadratic equation
Seidu
may God blessed u for that. Please I want u to help me in sets.
Opoku
what is math number
Tric Reply
4
Trista
x-2y+3z=-3 2x-y+z=7 -x+3y-z=6
Sidiki Reply
can you teacch how to solve that🙏
Mark
Solve for the first variable in one of the equations, then substitute the result into the other equation. Point For: (6111,4111,−411)(6111,4111,-411) Equation Form: x=6111,y=4111,z=−411x=6111,y=4111,z=-411
Brenna
(61/11,41/11,−4/11)
Brenna
x=61/11 y=41/11 z=−4/11 x=61/11 y=41/11 z=-4/11
Brenna
Need help solving this problem (2/7)^-2
Simone Reply
x+2y-z=7
Sidiki
what is the coefficient of -4×
Mehri Reply
-1
Shedrak
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Kimberly Reply
Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
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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