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7.5 Notes Done.notebook 1 March 14, 2018 7.5 Vectors Objectives: - Definition of Vectors - Position Vectors - Equivalent Vectors -Vector Magnitude - Vector Math https://www.youtube.com/watch?v=bOIe0DIMbI8

7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

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Page 1: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

7.5 Notes Done.notebook

1

March 14, 2018

7.5 VectorsObjectives:

- Definition of Vectors

- Position Vectors

- Equivalent Vectors

-Vector Magnitude

- Vector Mathhttps://www.youtube.com/watch?v=bOIe0DIMbI8

Page 2: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

7.5 Notes Done.notebook

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Page 3: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

7.5 Notes Done.notebook

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Page 4: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

7.5 Notes Done.notebook

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March 14, 2018

Determine whether the vectors AB and CD are equivalent.

A(1,0) B(3,4) C(-1,2) D(1,6)

Page 5: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

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March 14, 2018

Page 6: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

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March 14, 2018

Homework: pg 668 #15-33/3

Page 7: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

7.5 Notes Done.notebook

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Page 8: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

7.5 Notes Done.notebook

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March 14, 2018

7.5 VectorsObjectives:

- Unit Vectors

- Write a vector in terms of magnitude and

direction

- Find magnitude and direction of a vector

- Use Vectors in applications

Page 9: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

7.5 Notes Done.notebook

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March 14, 2018

Example: Finding a Unit VectorFind a unit vector u in the same direction as v = < 3, ­4 >

Page 10: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

7.5 Notes Done.notebook

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Example Vectors involving i and jFind each expression where u = 4i + 7j and v = 2i + 5j

a. u ­ 3v b. II 3u + 2v II

Page 11: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

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Page 12: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

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March 14, 2018

Example 7 Finding the Direction Angle of a VectorFind the direction angle x of the vector v = ­4i + 3j

Page 13: 7.5 Notes Done.notebook - perrylocal.orgperrylocal.org/stanford/files/2013/11/CAT-7.5-Notes-Done2.pdf · 7.5 Notes Done.notebook 13 March 14, 2018 Find the magnitude and bearing of

7.5 Notes Done.notebook

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March 14, 2018

Find the magnitude and bearing of the resultant R of two forces F1 and F2, where F1 is a 50 lb force acting northward and F2 is a 40 lb force acting eastward

Homework: pg 668 #36-60/3, 69 and 70