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