1. Chapter 3 Honors Physics
Vector Addition
Chapter 3
Honors Physics

2. Types of Quantities
Scalar - Magnitude Only
Vector - Magnitude and Direction

3. Vector Quantities
Displacement
Velocity
Acceleration
Force
Momentum

4. Representing Vectors Boldface (in print) Arrows (length and direction)
Arrow over Symbol

5. Vectors Equal Vectors Equal Length Equal Direction Non-Equal Vectors
Different Direction

6. Vector Addition Graphical Methods - ruler / protractor Polygon
Parallelogram
Mathematical Methods - sketch / calculator
Triangle
Components

7. Adding 2 Vectors - Polygon
R = A + B A B

8. Adding Vectors Polygon Method
Lay out the first vector
Lay the remaining vectors out tip to tail
Draw the resultant from the Tail of the First to the Tip of the Last

9. Order of Operations

10. Subtracting Vectors
A - B = A + (-B) B -B

11. Subtracting Vectors
R = A - B

12. Multiplying Vectors B
3 B

13. Adding Vectors - Parallelogram
R = A + B A B

14. Right Triangle B c a A C b

15. Adding Vectors - Triangle Method
Sketch the vector addition using the Polygon Method
Solve for the Magnitude
Right Triangle - Pythagorean
Non-Right Triangle - Law of Cosines
Solve for Direction
Right Triangle - SOHCAHTOA
Non-Right Triangle - Law of Sines

16. Law of Cosines A c b B a C

17. Law of Sines A c b B a C

18. Problem
A person walks 5 km, East and then 8 km, North. What is their displacement?

19. Problem
A person walks 25 km, 180° and then 15 km, 135°. What is their displacement?

20. Using the Calculator 89 Model 85 / 86 Model 83 / 84 Model
Use Parenthesis ( )
85 / 86 Model
Use Brackets to enter Vector [ ]
Use Vector Button (2nd --> 8)
OPS --> into either Rectangular or Polar
83 / 84 Model
Use Science Tools App