© 2005 Baylor University Slide 1 Fundamentals of Engineering Analysis EGR 1302 Unit 3, Lecture C Approximate Running Time is 24 Minutes Distance Learning / Online Instructional Presentation Presented by Department of Mechanical Engineering Baylor University Procedures: 1.Select “Slide Show” with the menu: Slide Show|View Show (F5 key), and hit “Enter” 2.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” 3.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”.

© 2005 Baylor University Slide 2 Defining The Direction of a Line in 3-D Direction Ratios are the Direction Ratios

© 2005 Baylor University Slide 3 The Direction Ratios of a Line Homework Problem 9.21 A, B, and C are Collinear either direction NO Magnitude!

© 2005 Baylor University Slide 4 Direction Ratios vs. Direction Cosines

© 2005 Baylor University Slide 5 Creating a Vector Parallel to a Line Cartesian Form Direction Ratios

© 2005 Baylor University Slide 6 Find Direction Cosines of a Vector Parallel to a Line

© 2005 Baylor University Slide 7 Vector Equation of a Plane Given a Plane and a point A in the Plane

© 2005 Baylor University Slide 8 Perpendicular Vector to a Plane

© 2005 Baylor University Slide 9 Angle Between Two Planes Find the Angle between the Planes

© 2005 Baylor University Slide 10 Student Exercise Find the angle between these two Planes. Solve this problem before reviewing the correct answer on the next slide.

© 2005 Baylor University Slide 11 Student Exercise Solution Find the angle between these two Planes.

© 2005 Baylor University Slide 12 Angles in the Coordinate System

© 2005 Baylor University Slide 13 This concludes Unit 3, Lecture C