Podcast
Questions and Answers
What is the proper representation of a vector?
What is the proper representation of a vector?
Which operation can be performed on vectors?
Which operation can be performed on vectors?
What can you determine by calculating the dot product of two vectors?
What can you determine by calculating the dot product of two vectors?
How do you find the length of a vector?
How do you find the length of a vector?
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What is a unit vector?
What is a unit vector?
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To find the distance between two vectors, which concept is applied?
To find the distance between two vectors, which concept is applied?
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What is the angle between two vectors determined by?
What is the angle between two vectors determined by?
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What does it mean for two vectors to be orthogonal?
What does it mean for two vectors to be orthogonal?
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How would you represent a vector graphically?
How would you represent a vector graphically?
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What are the two basic operations that can be performed with vectors?
What are the two basic operations that can be performed with vectors?
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Define a linear combination of vectors.
Define a linear combination of vectors.
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What is a unit vector and how is it obtained from a vector?
What is a unit vector and how is it obtained from a vector?
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Describe how to determine the distance between two vectors.
Describe how to determine the distance between two vectors.
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How do you calculate the dot product of two vectors?
How do you calculate the dot product of two vectors?
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What information can you derive from the angle between two vectors?
What information can you derive from the angle between two vectors?
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Explain the significance of orthogonal vectors.
Explain the significance of orthogonal vectors.
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Study Notes
General Information
- Coordinator and Lecturer: Dr BY Yizengaw (Belayneh)
- Email: [email protected]
- Textbook: Elementary Linear Algebra - Ron Larson (2th Custom Edition), Compiled by Alta Jooste, Cengage Learning 2018.
- Announcements will be via clickUP
- Class attendence is mandatory
- Consultation hours will be on clickUP soon
- ClickUP Tests: Thursday @ 5:30pm as per the module breakdown
Module Organization
- Vectors
- Matrices and Systems of Linear Equations
- Determinants
- Complex Numbers
Theme 1: Vectors
-
Unit 1.1: Vectors (Source: Textbook, Section 4.1)
- Represent a vector as a directed line segment
- Perform basic vector operations: addition, subtraction, scalar multiplication
- Perform basic vector operations in and represent them graphically
- Write a vector as a linear combination of other vectors
-
Unit 1.2: Length and Dot Product of Vectors in (Source: Textbook, Section 5.1)
- Find the length of a vector and a unit vector
- Find the distance between two vectors
- Find the dot product and the angle between two vectors and determine orthogonality
General Introduction
- Course: WTW 146, Linear Algebra
- Lecturer: Dr BY Yizengaw (Belayneh), [email protected]
- Textbook: Elementary Linear Algebra - Ron Larson (2nd Custom Edition), Compiled by Alta Jooste, Cengage Learning 2018
- Announcements: via ClickUP
- Attendance: Mandatory for lectures and practicals
- Consultation hours: To be announced on ClickUP
Module Organization
- Theme 1: Vectors
- Theme 2: Matrices and Systems of Linear Equations
- Theme 3: Determinants
- Theme 4: Complex Numbers
Preparation
- Refer to the module breakdown and study guide
- Attend all classes
- Read the textbook and lecture slides
- Complete practice problems
ClickUP Tests
- Conducted on Thursdays at 5:30 PM as per the module breakdown
Theme 1: Vectors
Unit 1.1: Vectors
- Section: 4.1 of the textbook
- Learning Outcomes:
- Represent a vector as a directed line segment
- Perform basic vector operations in Rn and represent them graphically
- Perform basic vector operations in R2
- Write a vector as a linear combination of other vectors
Unit 1.2: Length and Dot Product of Vectors in Rn
- Section: 5.1 of the textbook
- Learning Outcomes:
- Find the length of a vector and a unit vector
- Find the distance between two vectors
- Find the dot product and the angle between two vectors and determine orthogonality
- ?? (Missing content - the fourth learning outcome is not specified in the text)
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Description
Test your understanding of vectors as discussed in the Elementary Linear Algebra textbook by Ron Larson. This quiz covers vector representation, basic operations, and the dot product. Challenge yourself on these fundamental concepts and see how well you can apply them!
