Fundamentals of Engineering Analysis EGR 1302 - Introduction to Vectors Approximate Running Time - 31 minutes Distance Learning / Online Instructional Presentation Presented by Department of Mechanical Engineering Baylor University Procedures: Select “Slide Show” with the menu: Slide Show|View Show (F5 key), and hit “Enter” You will hear “CHIMES” at the completion of the audio portion of each slide; hit the “Enter” key, or the “Page Down” key, or “Left Click” You may exit the slide show at any time with the “Esc” key; and you may select and replay any slide, by navigating with the “Page Up/Down” keys, and then hitting “Shift+F5”.
Introduction to Vectors
Introduction to Vectors
The Two Dimensional Coordinate System (x,y) pair - components - magnitude/direction +x +y O +x +y O D C A B Components
The Three Dimensional Coordinate System +x +y O y x z +? +z Right Hand Rule +x +z +y O
Example of a RH Rule 3-D Coordinate System +z +y O +x
Vectors Describe Physical Quantities +x +z +y Force 5 N Velocity 60 mph North
Vector Notation, Components, and Magnitude +x +z +y x or x Weight Magnitude:
Equality of Vectors If Then +y +x +z Note because the directions are different
Adding Vectors Triangular Method Parallelogram Method
Multiplying Vectors by a Constant Multiplying a vector by a constant only changes the Magnitude - not the orientation.
The Position Vector is the position vector of P origin
The Vector Equation of a Circle Proof:
Coplanar Vector Relationship Will describe any point in the plane in terms of its position vector
This concludes the Lecture