Phys2A_F07_Lecture_03

Phys2A_F07_Lecture_03 - Conversion between Cartesian and...

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W. P. Beyermann Fall 2007 1 Vectors and Scalars A vector has a magnitude, which is always a positive number, and a direction. The location or position of the vector is not relevant. A scalar is a quantity that is completely specified by a positive or negative number. What is a vector and how do you add and subtract them, both graphically and analytically?
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W. P. Beyermann Fall 2007 2 Addition Subtraction Vectors Addition & Subtraction
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W. P. Beyermann Fall 2007 3 Multiplication by Scalar
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W. P. Beyermann Fall 2007 4 Example: Adding two vectors B A C G G G 2 = C G B G B G B G A G A G B G
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W. P. Beyermann Fall 2007 5 Cartesian Coordinate System
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W. P. Beyermann Fall 2007 6 Components of a Vector
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W. P. Beyermann Fall 2007 7 Conversion between graphical and component representations
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Unformatted text preview: Conversion between Cartesian and plane polar coordinates Coordinates W. P. Beyermann Fall 2007 8 W. P. Beyermann Fall 2007 9 Unit Vectors axis-x the along directed- i axis-y the along directed- j A unit vector is directed along one of the axes of the coordinate system and has a magnitude of 1. W. P. Beyermann Fall 2007 10 Addition & Subtraction Using the Component Representation j B A i B A j B i B j A i A B A C y y x x y x y x ) ( ) ( ) ( ) ( + + + = + + + = + = G G G Addition add the components Subtraction subtract the components j B A i B A j B i B j A i A B A C y y x x y x y x ) ( ) ( ) ( ) ( + = + + = = G G G...
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This note was uploaded on 04/07/2008 for the course PHY 2A taught by Professor Beyermann during the Fall '08 term at UC Riverside.

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Phys2A_F07_Lecture_03 - Conversion between Cartesian and...

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