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Lesson 6 – Multiplying a Vector by a Scalar

Lesson 6 – Multiplying a Vector by a Scalar. July 31, 2013. Learning Goals. Scalar Multiplication Unit Vectors Collinear Vectors Linear Combinations Review of Sine and Cosine Law Physics Applications of Vectors. Scalar Multiplication. Unit Vectors. Unit Vectors Example.

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Lesson 6 – Multiplying a Vector by a Scalar

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  1. Lesson 6 – Multiplying a Vector by a Scalar July 31, 2013

  2. Learning Goals • Scalar Multiplication • Unit Vectors • Collinear Vectors • Linear Combinations • Review of Sine and Cosine Law • Physics Applications of Vectors

  3. Scalar Multiplication

  4. Unit Vectors

  5. Unit Vectors Example

  6. Collinear Vectors Vectors are collinear if they lie on a straight line when arranged tail to tail. The vectors are also scalar multiplies of each other, which means that they are parallel. All are examples of collinear vectors!!

  7. Collinear Vectors Example

  8. Linear Combinations of Vectors

  9. Review Sine Law

  10. Review Cosine Law

  11. Physics Example 1

  12. Physics Example 1….Continued

  13. Physics Example 2

  14. Physics Example 3

  15. Required Before Next Class • Review your notes for the whole chapter, there may be a pop quiz tomorrow • Read Section 6.3 and make notes • Section 6.3 # 4, 11, 19, 21 • Add me on Facebook, Peter Bishop, but be sure to send a message along with it indicating which class you are in, and what section. • Join the Facebook group for Calculus and Vectors • Write to me your e-mail, so I can send you an invitation into dropbox, which will be used throughout the course.

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