1. Fundamentals of Engineering Analysis
EGR Introduction to Vectors
Approximate Running Time - 31 minutes
Distance Learning / Online Instructional Presentation
Presented by
Department of Mechanical Engineering
Baylor University
Procedures:
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2. Introduction to Vectors

3. Introduction to Vectors

4. The Two Dimensional Coordinate System
(x,y) pair - components - magnitude/direction +x +y O +x +y O D C A B
Components

5. The Three Dimensional Coordinate System+x +y O y x z +? +z
Right Hand Rule +x +z +y O

6. Example of a RH Rule 3-D Coordinate System+z +y O +x

7. Vectors Describe Physical Quantities+x +z +y
Force
5 N
Velocity
60 mph
North

8. Vector Notation, Components, and Magnitude+x +z +y x
or x
Weight
Magnitude:

9. Equality of Vectors If Then +y +x +z
Note because the directions are different

10. Adding Vectors
Triangular Method
Parallelogram Method

11. Multiplying Vectors by a Constant
Multiplying a vector by a constant only changes the Magnitude - not the orientation.

12. The Position Vector
is the position vector of P
origin

13. The Vector Equation of a Circle
Proof:

14. Coplanar Vector Relationship
Will describe any point in the plane in terms of its position vector

15. This concludes the Lecture