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© 2005 Baylor University Slide 1 Fundamentals of Engineering Analysis EGR 1302 Unit 2, Lecture G Approximate Running Time - 17 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 Plane: 1 Line: L1 3-D Equations for the Plane and the Line Substitute to get
© 2005 Baylor University Slide 3 Find the Equation for the Plane Given A:(1,-2,1) B:(2,6,2) C:(-1,-2,3) Use the Three Point Form: Simplify:
© 2005 Baylor University Slide 4 Now Find the Equation for the Line Given D:(-3,6,10) E:(0,2,8) Vector Parametric Form Cartesian Form
© 2005 Baylor University Slide 5 Now Find the That Satisfies Both Equations The Plane: The Line: Substitute into the Plane equation And solve for Substituting back into the Line equation Are the of the point of intersection
© 2005 Baylor University Slide 6 The Unit Vector
© 2005 Baylor University Slide 7 The Basis Vectors
© 2005 Baylor University Slide 8 Basis Vectors Simplify Vector Math Add components independently
© 2005 Baylor University Slide 9 Position Vectors in Basis Vector Notation
© 2005 Baylor University Slide 10 The Unit Vector of
© 2005 Baylor University Slide 11 This concludes Unit 2, Lecture G You are now Ready to Take the Unit 2 Exam
INTERSECTION OF 3 PLANES.. Consider the 3 planes given by the following equations: x + 2y + z = 14 2x + 2y – z = 10 x – y + z = 5 The traditional.
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