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This module contains review questions and answers keyed to the module titled GAME 2302-0120: Visualizing Column Matrices.

Table of contents

Preface

This module contains review questions and answers keyed to the module titled GAME 2302-0120: Visualizing Column Matrices .

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 .

True or False: The following equation is the equation of a straight line in two dimensions where m is the slope, b is the y-intercept, and the asteriskindicates multiplication:

y = m*x + b

Answer 1

Question 2

True or False: The following equation is the equation of a hyperbola in two dimensions where x^2 indicates x raised to the second power and k is they-intercept:

y = x^2 + k

Answer 2

Question 3

In this and other questions that follow, the upper-case T represents transpose, as shown by a superscript T in the Kjell tutorial.

True or False: Given that a and b are column matrices, the following equations are true:

a = (3,2)T

b = (-2,1)T

a + b = (5,3)T

Answer 3

Question 4

True or False: The addition of vectors depends on their location.

Answer 4

Question 5

Consider Figure 1 .

Figure 1 Question 5

Vector addition

True or False: A valid statement of the head-to-tail rule is:

Head-to-Tail Rule: Move vector v (keeping its length and orientation the same) until its tail touches the tail of u. The sum is the vector from the tail of u to the head of v.

Answer 5

Question 6

True or False: The head-to-tail rule works in both 2D and 3D.

Answer 6

Question 7

True or False: The associative rule applies to the addition of vectors in alldimensions.

Answer 7

Question 8

True or False: Vector addition is commutative, just like addition of real numbers.

Answer 8

Question 9

True or False: The commutative rule for vectors applies in all dimensions.

Answer 9

Question 10

True or False: A coordinate frame consists of a distinguished point P0 (called the origin) and an axis for each dimension (often called X and Y). In 2D space there are two axes; in 3D space there are three axes (often called X, Y, and Z).

Answer 10

Question 11

True or False: Points can be represented with column matrices independently of the coordinate frame.

Answer 11

Question 12

True or False: Because of the triangle inequality, the sum of two vectors is not necessarily the same as the sum of the lengths of the two vectors.

Answer 12

Question 13

True or False: A displacement vector added to a point results in a point.

Answer 13

Figures

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 13

True

Kjell, Chapter 3

Back to Question 13

Answer 12

True

Kjell, Chapter 3

Back to Question 12

Answer 11

False. The correct statement is:

Points can be represented with column matrices. To do this, you first need to decide on a coordinate frame (sometimes called just frame).

Kjell, Chapter 3

Back to Question 11

Answer 10

True

Kjell, Chapter 3

Back to Question 10

Answer 9

True

Kjell, Chapter 3

Back to Question 9

Answer 8

True

Kjell, Chapter 3

Back to Question 8

Answer 7

True

Kjell, Chapter 3

Back to Question 7

Answer 6

True

Kjell, Chapter 3

Back to Question 6

Answer 5

False. The correct statement is:

Head-to-Tail Rule: Move vector v (keeping its length and orientation the same) until its tail touches the head of u. The sum is the vector from the tail of u to the head of v.

Kjell, Chapter 3

Back to Question 5

Answer 4

False. Vectors have no position or location.

Kjell, Chapter 3.

Back to Question 4

Answer 3

False

a + b = (1,3)T

Kjell Chapter 3

Back to Question 3

Answer 2

False. This is the equation of a parabola, not a hyperbola.

Back to Question 2

Answer 1

True

Back to Question 1

Miscellaneous

This section contains a variety of miscellaneous information.

Housekeeping material
  • Module name: Game0120r Review: Visualizing Column Matrices
  • File: Game0120r.htm
  • Published: 09/22/13
  • Revised: 01/24/16
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

can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
is it 3×y ?
Joan Reply
J, combine like terms 7x-4y
Bridget Reply
im not good at math so would this help me
Rachael Reply
yes
Asali
I'm not good at math so would you help me
Samantha
what is the problem that i will help you to self with?
Asali
how do you translate this in Algebraic Expressions
linda Reply
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
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
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
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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