# Announcements: - PowerPoint PPT Presentation

1 / 12

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). VECTORS in 3-D Space. Cartesian Vector Form

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

Announcements:

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

### Announcements:

• HMK will be assigned in class

• NO LATE HMK ALLOW

• Due date next class

• Use Cartesian Components: Fx, Fy, Fz

• Discuss Problems

• Prob. 2.28 and Prob. 2.56

• Maple has UNIX complex (case sensitive).

### VECTORS in 3-D Space

• Cartesian Vector Form

• Unit Vectors

• Position Vector

• Dot Product:

### Cartesian Vector Form:

• Or using the unit vector eF:

• If

• Remember that

### Unit Vector from Coordinates

• If coordinates of position are given, e.g. (dx,dy,dz)

• Magnitude of vector d:

• Then:

### Direction of vector F:

• Using Information of coordinates

### Activity#1: Analytical

(1) Find the Unit vector eF

(2) Express F in cartesian vector form.

z

d(2,-4,3

F=100N

y

x

### Dot Product:

• Define as:

• Dot Product of two Vectors=Scalar.

### Application of Dot Product

• Dot product of Unit Vectors:

• Dot Product of same Vector:

### Activity#2: Maple

• If position given: d1(3,-2.5,3.5)ft.

• Find:

(1) Magnitude of distance:

(2) Unit vector

z

d1(3,-2.5,3.5)

y

x

### Activity#3: Maple

(1) Find the Unit vector eF

(2) Express F in cartesian vector form.

z

d(2,-4,3)

F=100N

y

x

### 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

### Final Period

• Quiz #1: Vectors

• Chapter #3: Statics of Particles

• Free Body Diagram: FBD

• Equilibrium Eqns: