1. Announcements: Important Read before class HMK will be assigned in class NO LATE HMK ALLOW –Due date next class Use Cartesian Components: F x, F y, F z Discuss Problems –Prob. 2.28 and Prob. 2.56 Maple has UNIX complex (case sensitive).

2.  Cartesian Vector Form  Unit Vectors  Position Vector  Dot Product: VECTORS in 3-D Space

3. Cartesian Vector Form: Or using the unit vector e F: If Remember that

4. Unit Vector from Coordinates If coordinates of position are given, e.g. (d x,d y,d z ) Magnitude of vector d: Then:

5. Direction of vector F: Using Information of coordinates

6. Activity#1: Analytical (1) Find the Unit vector e F (2) Express F in cartesian vector form. x y z F=100N d(2,-4,3

7. Dot Product: Define as: Dot Product of two Vectors = Scalar.

8. Application of Dot Product Dot product of Unit Vectors: Dot Product of same Vector:

9. Activity#2: Maple If position given: d 1 (3,-2.5,3.5)ft. Find: (1) Magnitude of distance: (2) Unit vector x y z d 1 (3,-2.5,3.5)

10. Activity#3: Maple (1) Find the Unit vector e F (2) Express F in cartesian vector form. x y z F=100N d(2,-4,3)

11. Discuss Problem 2.80 Discuss Analytical Approach –Position Vector: –Unit Vector from position vector –Resultant Force Show Maple Solution Problem 2.81 solved same way

12. Final Period Quiz #1: Vectors Chapter #3: Statics of Particles –Free Body Diagram: FBD –Equilibrium Eqns: