{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Phys2A_F07_Lecture_03

# Phys2A_F07_Lecture_03 - Conversion between Cartesian and...

This preview shows pages 1–10. Sign up to view the full content.

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?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
W. P. Beyermann Fall 2007 2 Addition Subtraction Vectors Addition & Subtraction
W. P. Beyermann Fall 2007 3 Multiplication by Scalar

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
W. P. Beyermann Fall 2007 5 Cartesian Coordinate System

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
W. P. Beyermann Fall 2007 6 Components of a Vector
W. P. Beyermann Fall 2007 7 Conversion between graphical and component representations

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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-ˆ i axis-y the along directed-ˆ 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 ˆ ) ( ˆ ) ( ) ˆ ˆ ( ) ˆ ˆ ( + + + = + + + = + = 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 ˆ ) ( ˆ ) ( ) ˆ ˆ ( ) ˆ ˆ ( − + − = + − + = − = G G G...
View Full Document

{[ snackBarMessage ]}

### Page1 / 10

Phys2A_F07_Lecture_03 - Conversion between Cartesian and...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online