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Adding vectors algebraically & graphically
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To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.​​

Subject:
Algebra
Mathematics
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
08/13/2020
Arithmetic: More Long Division and Remainder Examples (Part 3 of 4)
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CC BY-NC-SA
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This arithmetic lesson demonstrates more long division problems with remainders.[Arithmetic playlist: Lesson 26 of 38]

Subject:
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
08/13/2020
Banking, Money, Finance: About Leverage and Solvency
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CC BY-NC-SA
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This lesson explains leverage and insolvency and why it is good or bad. [Banking, Money, Finance playlist: Lesson 10 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Analysis of the Federal Reserve Balance Sheet as of February 2007
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CC BY-NC-SA
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This lesson provides an analysis of the federal reserve balance sheet as of February 2007. [Banking, Money, Finance playlist: Lesson 21 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Federal Funds Rate
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CC BY-NC-SA
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This lesson discusses how open market operations effect the rate at which banks lend to each other overnight. [Banking, Money, Finance playlist: Lesson 14 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Federal Funds Rate and the Money Supply
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CC BY-NC-SA
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This lesson presents more information on the mechanics of the Federal Funds rate and how it increases the money supply. [Banking, Money, Finance playlist: Lesson 15 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Getting Off the Gold Standard
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CC BY-NC-SA
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This lesson talks about the gold standard and is a short discussion on the meaning of wealth. [Banking, Money, Finance playlist: Lesson 17 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: How Banks Can Give Out Loans Without Giving Out Gold
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CC BY-NC-SA
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This lesson tells how banks can give out loans without ever giving out gold. [Banking, Money, Finance playlist: Lesson 7 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: How "Money" is Created in a Fractional Reserve Banking System.
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CC BY-NC-SA
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This lesson talks about how money is created in a fractional reserve banking system. [Banking, Money, Finance playlist: Lesson 4 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: How Reserve Requirements Limit How Much Lending a Bank Can Do
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CC BY-NC-SA
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This lesson explains reserve requirements and how they limit how much lending a bank can do. [Banking, Money, Finance playlist: Lesson 8 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Introduction to Bank Notes
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CC BY-NC-SA
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This lesson introduces bank notes and how you are more familiar with them than you realize. [Banking, Money, Finance playlist: Lesson 5 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Introduction to Government Debt and Treasuries
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CC BY-NC-SA
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This lesson discusses government debt and treasuries. It explains what it means that Federal Reserve Notes are issued by the Reserve Bank but are not an obligation on the government. [Banking, Money, Finance playlist: Lesson 12 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Introduction to How Banks Make Money
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CC BY-NC-SA
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This lesson introduces the ways that banks make money. [Banking, Money, Finance playlist: Lesson 1 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Introduction to the Bank Income Statement
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CC BY-NC-SA
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This lesson is an introduction to the income statement of a bank, and to income statements, in general. [Banking, Money, Finance playlist: Lesson 2 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Introduction to the Idea of a Reserve Bank
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CC BY-NC-SA
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This lesson discusses the idea of a reserve bank. [Banking, Money, Finance playlist: Lesson 11 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Mechanics of Repurchase Agreements
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CC BY-NC-SA
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This lesson discusses the mechnics of repurchase agreements, reposession transactions and loans. [Banking, Money, Finance playlist: Lesson 20 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: More on How Bank Notes and Checks Can Be Used
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CC BY-NC-SA
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This lesson idiscusses how bank notes and checks can be used. [Banking, Money, Finance playlist: Lesson 6 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Pros and Cons of Various Banking Systems
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CC BY-NC-SA
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This lesson talks about the pros and cons of various banking systems and talks more about using gold as a standard. [Banking, Money, Finance playlist: Lesson 18 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: Seeing How Reserve Ratios Limit How Much Lending I Can Do
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CC BY-NC-SA
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This lesson explains how reserve ratios limit how much lending an individual can do. [Banking, Money, Finance playlist: Lesson 9 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020
Banking, Money, Finance: The Discount Rate and Window.
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CC BY-NC-SA
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This lesson discusses the discount rate and window and the concept of lender of last resort. [Banking, Money, Finance playlist: Lesson 19 of 24]

Subject:
Business
Economics
Finance
Social and Behavioral Sciences
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
08/13/2020