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This module explains vector multiplication in a format that is accessible to blind students.

Table of contents

Preface

General

This module is part of a book (or collection) designed to make physics concepts accessible to blind students. The collection is intended to supplement but not to replace thetextbook in an introductory course in high school or college physics.

This module explains vector multiplication in a format that is accessible to blind students.

Prerequisites

In addition to an Internet connection and a browser, you will need the following tools (as a minimum) to work through the exercises in these modules:

  • A graph board for plotting graphs and vector diagrams ( (External Link) ).
  • A protractor for measuring angles ( (External Link) ).
  • An audio screen reader that is compatible with your operating system, such as the NonVisual Desktop Access program (NVDA), which is freelyavailable at (External Link) .
  • A refreshable Braille display capable of providing a line by line tactile output of information displayed on the computer monitor ( (External Link) ).
  • A device to create Braille labels. Will be used to label graphs constructed on the graph board.

The minimum prerequisites for understanding the material in these modules include:

  • A good understanding of algebra.
  • An understanding of the use of a graph board for plotting graphs and vector diagrams ( (External Link) ).
  • An understanding of the use of a protractor for measuring angles ( (External Link) ).
  • A basic understanding of the use of sine, cosine, and tangent from trigonometry ( (External Link) ).
  • An introductory understanding of JavaScript programming ( (External Link) and (External Link) ).
  • An understanding of all of the material covered in the earlier modules in this collection.

Viewing tip

I recommend that you open another copy of this document in a separate browser window and use the following links to easily find and view the figures while you are reading about them.

Figures

  • Figure 1 . Facts worth remembering for the dot product.
  • Figure 2 . Facts worth remembering for the cross product.

Supplemental material

I recommend that you also study the other lessons in my extensive collection of online programming tutorials. You will find a consolidated index at www.DickBaldwin.com .

Discussion

You learned about vector addition and vector subtraction in earlier modules. It is also possible to multiply vectors. That capability will become importantin future modules.

Questions & Answers

The type of elasticity if demand
Okonkwo Reply
aren't leaving too about bathrooms
SHADAB
what is money
Lawal Reply
what is supply
Lawal
the total number of goods present at a particular area at a particular time
Offset
the meaning of elasticity
Affum Reply
how to knw the break even point in business
Edmore Reply
hello
Marshal
hello
ghulam
hi
Kakay
hi
Ornill
hi
Bakari
Good evening
owi
when TOTAL COST & TOTAL REVENUE equal each other that's break even point
Bappy
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Kakay
yaah
Chris
🤙🤙
Kakay
Good evening
Amarachi
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Sorie
hello
Marshal
hello
McClean
Hai👋👋
Noah
Hey
Andile
hello
Offset
what's up?
Offset
what are the importance of economics
sani Reply
hello
Marshal
welcome
Zaid
am new here
Kakay
hello I'm new here
Mona
your welcome
Bakari
thanks
Mona
where are you from?
Bakari
Hello I'm new here
Amarachi
what is development?
juwel Reply
it shows how many products customers are willing to purchase as the price of those product increase or decrease
Asha Reply
economics as a science
skima Reply
What is utility
Jimoh Reply
utility is a total satisfaction derives from a consumer.
Umar
what is ranking reveal choices?
Umar
wants satisfying power of a commodity is known as utility........
SHADAB
What is elasity
bohvy
Differentiate between scarcity and choice and explain how they effect perfectly elasiticity of demand and give relevant example with type of goods affected
PATRICK
Utility is ability if of available goods to satisfy human wants
PATRICK
any idea about equilibrium?
Umar
equilibrium where price and quantity demanded equals
Bappy
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john
Equilibrium is when quantity demanded of goods and services is equal to supply to the market.
john
saaa.....
Bright
how about the profit....anybody can explain
Jeff
how about equilibrium of consumer?
Umar
bappy,john thank you the answers.
Umar
Utility Simply means the satisfaction a consumer derives from consuming a good or service
Hez
Pls can someone explain Elasticity of demand in a short terms
Osuayan
it's a degree of responsiveness to demand due to changes in prices
Ukpen
what is scarcity? pls help
Mikateko Reply
scarity is when there is a huge demand for certain goods and services but there's limited resources to actually produce those things
Mario
thank you
Kakay
what is development?
juwel
what is distribution
umar Reply
1.what is distribution? 2.what are factors affecting distribution? 3.releat what you are writing in the contest of economics and Nigeria situation
umar
what is demand
Obianyido Reply
things that are needed or wanted
Mario
The market for you In Ilorin has the following demand and supply equation Qd + 5p =9520 Qs =2.5p - 125 a) determine the equation price and quantity b) Explain the situation when the market price is below the equlibrum price
Rasheee Reply
solutions
Alex
What is scale of preference
Richmond Reply
Pls what is scale of preference
Richmond
scale of preference is a arrangement of individual wants in order of priority
Lamina
the arrangement of people want inoder of demand
Ada
explain whether decisions in microeconomics involve an opportunity cost
Sonali Reply
While the American heart association suggests that meditation might be used in conjunction with more traditional treatments as a way to manage hypertension
Beverly Reply
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Source:  OpenStax, Accessible physics concepts for blind students. OpenStax CNX. Oct 02, 2015 Download for free at https://legacy.cnx.org/content/col11294/1.36
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