1. Vectors What are they? How do we measure them? How do we add them? How do we scalar multiply them?

2. What is a vector? Def. A vector is a magnitude and direction in space. Direction: Northeast; Magnitude: ? Direction: ? ; Magnitude: ? Direction: North ; Magnitude: 1 Inch tail head

4. Adding vectors EX 1: Start at the desk.. 1.Go West for 2 feet. 2.Go North 5 feet. How far have you traveled? How far are you from where you started? EX2: EX3:

5. Adding vectors

6. Subtracting vectors Home School CSUN

7. Zero Vector & Scalar Multiplication Home School CSUN

8. Exercises

10. 200nts

11. Exercises: Homework

13. Algebraic Approach

14. Addition: Algebraic Approach

15. Magnitude: Algebraic Approach

16. A little work with physics The tractor is dead. Turtle pulls the tractor. The “work” done depends on the direction and magnitude of the pull (force) as well as the distance traveled.

17. More Work: (measures something about how a force vector acts on an object moving in a fixed direction)

18. Dot Product

19. Properties of dot product: