# 1.12 Game0130r: review  (Page 2/2)

 Page 2 / 2
• 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

## Question 19

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

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

## 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

## 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

## 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

## 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

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.

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

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

A. (-3.464,2.0)T

Kjell, Chapter 5

D. -135 degrees

Kjell, Chapter 5

C. -45 degrees

Kjell, Chapter 5

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

C. 315 degrees, or

D.-45 degrees

depending on the convention in use.

Kjell, Chapter 5

True

Kjell, Chapter 5

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

Kjell, Chapter 4.

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.

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

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

Kjell, Chapter 4.

True

Kjell, Chapter 4

C. 6

Kjell, Chapter 4

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

True

Kjell, Chapter 4

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

C. 5

Kjell, Chapter 4

C. 5

Kjell, Chapter 4

C. 10

Kjell, Chapter 4

C. 4

The length of the vector is 4 units.

Kjell, Chapter 4

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

True. as in (3,0)T

Kjell, Chapter 4

B. 3

The length of the vector is 3 units.

Kjell, Chapter 4

## 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-

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