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This module contains review questions and answers keyed to the module titled GAME 2302-0130: Putting the Game-Math Library to Work.

Table of contents

Preface

This module contains review questions and answers keyed to the module titled GAME 2302-0130: Putting the Game-Math Library to Work .

The questions and the answers are connected by hyperlinks to make it easy for you to navigate from the question to the answer and back again.

Questions

Question 1 .

What is the length of the vector represented by (3,0)T where the upper-case T indicates "transpose" and is often shown as an upper-case superscript T.

  • A. 2
  • B. 3
  • C. 4
  • D. 5

Answer 1

Question 2

True or False: When a 2D vector is aligned with the x axis, the column matrix that represents it has a non-zero value in the first element, and zero for the second element.

Answer 2

Question 3

True or False: When a 2D vector is aligned with the y axis, the column matrix that represents it has a non-zero value in the first element, and zero for thesecond element.

Answer 3

Question 4

What is the length of the vector represented by (0,4)T

  • A. 2
  • B. 3
  • C. 4
  • D. 5

Answer 4

Question 5

What is the length of the hypotenuse of a right triangle whose two sides are 6 and 8?

  • A. 6
  • B. 8
  • C. 10
  • D. 12

Answer 5

Question 6

What is the length of the vector represented by ( 4, 3 )T

  • A. 3
  • B. 4
  • C. 5
  • D. 6

Answer 6

Question 7

Given: The length of the vector v is often represented as |v|

Question: What is the value of |( 4, 3 )T|

  • A. 3
  • B. 4
  • C. 5
  • D. 6

Answer 7

Question 8

True or False: Given vectors u and v, the following is a true statement where>= indicates "greater than or equal"

|u + v|>= |u| + |v|

Answer 8

Question 9

True or False: Three dimensional vectors have length.

Answer 9

Question 10

Given:

  • The ^ character represents exponentiation
  • sqrt() represents computation of the square root of the value contained in the parentheses.
  • (x,y,z)T is a transpose column matrix that represents a three-dimensional vector

True or False: The following statement is true.

|(x,y,z)T| = sqrt(x^3 + y^3 + z^3)

Answer 10

Question 11

What is the value of |(2,-4,4)T|

  • A. 4
  • B. 5
  • C. 6
  • D. 7

Answer 11

Question 12

True or False: Length is a property of a vector and is not a property of the column matrix that is used to represent it.

Answer 12

Question 13

True or False: The length of a vector can be positive or negative.

Answer 13

Question 14

True or False: Two vectors that are equal to each other must have the same length.

Answer 14

Question 15

True or False: Two vectors that have the same length must be equal to each other.

Answer 15

Question 16

True or False: If v is a vector, then -v is a vector that is perpendicular to v.

Answer 16

Question 17

Given: the vector represented by (4,0)T

True or False: The vector is parallel to the X axis of the coordinate frame we are using. Often this is horizontal, pointing right. (Or, you might say that the vector is oriented at 0 degrees if you consider due East to be 0degrees.)

Answer 17

Question 18

Given: The orientation of a vector is usually expressed as an angle with the positive x axis of a coordinate frame. There are two ways of doing this:

Questions & Answers

so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
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
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele 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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