1. Chapter 3 part 1 Vectors and Vector Addition

2. What are Component Vectors?
Every Vector can be broken down into vectors which are entirely in the x & y directions (&z) These are its components vectors They can be found using “baby trig”

3. Finding a Vector from its components
To find a vector given its components. Use the Pythagorean theorem to find magnitude
And inverse tangent to find the angle

4. Adding Vectors Graphically
The Sum of two vectors is called the Resultant.
The Direction of the two vectors is as important to the magnitude of the resultant as their magnitudes!
Vectors can be added through calculation or…
Graphically
To add vectors graphically :
Draw each as an arrow proportionate in length to it magnitude, and in the right direction.
Draw the 2nd vector beginning where the 1st ended
Draw the Resultant from the beginning of the first to the end of the second
Measure the resultant

5. Vector Model vs Vector Addition Diagrams
Vector Model Diagrams
Vector Graphic Addition diagrams
Are used to add vectors graphically…thus
The first starts at the object
All others are draw from the point of the previous vector
Are used to represent the vectors affecting an object…thus
All vectors start at the object

6. Finding the Resultant by Calculation!
Break each vector down into x & y-components.
Add all x-components together to get the resultant’s X-component
Add all y-components together to get the resultant’s Y-component
Use the Pythagorean theorem to find the resultant’s Magnitude
Use inverse tangent to find the resultant’s direction.