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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

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
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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