1. In this chapter we will learn about vectors, (properties, addition, components of vectors) Multiplication will come later Chapter 3: Vectors WebAssign ok? Everything all right in lab? Questions? Reading assignment: Chapter 3.3-3.4 Homework 4 (due Monday, Sept. 5, 2005): Chapter 3: 26, 35, 44, 57, 62, 66 Remember: Homework 2 is tonight at 10 pm

2. TUTOR & HOMEWORK SESSIONS This year’s tutors: Jerry Kielbasa, Matt Rave, Christine Carlisle All sessions will be in room 103 (next to lecture room). Tutor sessions in semesters past were very successful and received high marks from students. All students are encouraged to take advantage of this opportunity. MondayTuesdayWednesdayThursdayFridaySaturdaySunday 4-6 Jerry 5-7 Christine 4-6 Jerry 5-7 Matt 3-5 Jerry 6-8 Christine 6-8 Matt

3. Vectors: Magnitude and ____________ Scalars: Only Magnitude A scalar quantity has a single value with an appropriate unit and has no _______. Examples for each: Vectors: Scalars: Motion of a particle from A to B along an arbitrary path (dotted line). Displacement is a vector

4. Coordinate systems Cartesian coordinates:

5. Vectors: Represented by ____________ ( example displacement ). ____________ points away from the starting point. Length of the arrow represents the ____________ In text: a vector is often represented in bold face (A) or by an ____________ over the letter. In text: ____________ is written as A or These four vectors are equal because they have the same ___________ and same ___________

6. Adding vectors: Draw vector A. Draw vector B starting at the tip of vector A. The resultant vector R = A + B is drawn from the tail of A to the tip of B. Graphical method (triangle method):

7. Adding several vectors together. Resultant vector R=A+B+C+D is drawn from the tail of the first vector to the tip of the last vector.

8. A + B = ______ (Parallelogram rule of addition) Commutative Law of vector addition

9. Associative Law of vector addition A+(B+C) = (A+B)+C The _____________ in which vectors are added together does not matter.

10. Negative of a vector. The vectors A and –A have the same magnitude but opposite ____________________. A + (-A) = 0 A -A-A

11. Subtracting vectors: A - B = A + (-B)

12. Blackboard example 3.1 A car travels 20.0 km due north and then 35.0 km in a direction 60° west of north as shown in the figure. Find the magnitude and direction of the car’s resultant displacement. We cannot just add 20 and 35 to get resultant vector!!