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Prerequisites & Objectives
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- Pre-Requisites for Vectors [PDF] [DOC]
- Objectives of Vectors [PDF] [DOC]
Textbook Chapter
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- Textbook Chapter on Vectors [PDF] [DOC]
Digital Audiovisual Lectures
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- What is a vector? [YOUTUBE 2:27]
- What is a vector? Example [YOUTUBE 1:15]
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- When are two vectors equal? [YOUTUBE 2:02]
- When are two vectors equal? Example [YOUTUBE 2:26]
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- How do you add two vectors? [YOUTUBE 1:34]
- How do you add two vectors? Example [YOUTUBE 1:48]
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- What is a null (or zero) vector? [YOUTUBE 1:12]
- What is a unit vector? [YOUTUBE 1:30]
- What is a unit vector? Example [YOUTUBE 1:49]
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- How do you multiply a vector by a scalar? [YOUTUBE 1:18]
- How do you multiply a vector by a scalar? Example [YOUTUBE 1:16]
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- What do you mean by linear combination of vectors? [YOUTUBE 1:44]
- What do you mean by linear combination of vectors? Example [YOUTUBE 2:34]
- What do you mean by vectors being linearly independent? [YOUTUBE 2:28]
- Are these vectors linearly independent? Example 1 [YOUTUBE 3:17]
- Are these vectors linearly independent? Example 2 [YOUTUBE 9:13]
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- What do you mean by rank of a set of vectors? [YOUTUBE 2:09]
- Rank of a set of vectors: Example 1 [YOUTUBE 3:53]
- Rank of a set of vectors: Example 2 [YOUTUBE 2:27]
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- Prove that if a set of vectors contains a null vector, the set of vectors is linearly dependent [YOUTUBE 2:29]
- Prove that if a set of vectors is linearly independent, then a subset of it is also linearly independent [YOUTUBE 5:42]
- Prove that if a set of vectors is linearly dependent, then at least one vector can be written as a linear combination of others [YOUTUBE 4:06]
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- How can vectors be used to write simultaneous linear equations? [YOUTUBE 5:08]
- How can vectors be used to write simultaneous linear equations? Example [YOUTUBE 3:13]
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- What is the definition of the dot product of two vectors? [YOUTUBE 2:00]
- Dot product of two vectors Example [YOUTUBE 1:41]
Presentations
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- PowerPoint Presentation of Vectors [PDF] [PPT]
Multiple Choice Test
Problem Set
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- Problem set for Vectors [PDF] [DOC]
Related Topics