Copyright © 2011 Pearson, Inc. 8.6 Three- Dimensional Cartesian Coordinate System.

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Copyright © 2011 Pearson, Inc. 8.6 Three- Dimensional Cartesian Coordinate System

Copyright © 2011 Pearson, Inc. Slide What you’ll learn about Three-Dimensional Cartesian Coordinates Distances and Midpoint Formula Equation of a Sphere Planes and Other Surfaces Vectors in Space Lines in Space … and why This is the analytic geometry of our physical world.

Copyright © 2011 Pearson, Inc. Slide The Point P(x,y,z) in Cartesian Space

Copyright © 2011 Pearson, Inc. Slide The Coordinate Planes Divide Space into Eight Octants

Copyright © 2011 Pearson, Inc. Slide Distance Formula (Cartesian Space)

Copyright © 2011 Pearson, Inc. Slide Midpoint Formula (Cartesian Space)

Copyright © 2011 Pearson, Inc. Slide Example Calculating a Distance and Finding a Midpoint

Copyright © 2011 Pearson, Inc. Slide Example Calculating a Distance and Finding a Midpoint

Copyright © 2011 Pearson, Inc. Slide Drawing Lesson

Copyright © 2011 Pearson, Inc. Slide Drawing Lesson (cont’d)

Copyright © 2011 Pearson, Inc. Slide Standard Equation of a Sphere

Copyright © 2011 Pearson, Inc. Slide Example Finding the Standard Equation of a Sphere

Copyright © 2011 Pearson, Inc. Slide Example Finding the Standard Equation of a Sphere

Copyright © 2011 Pearson, Inc. Slide Equation for a Plane in Cartesian Space

Copyright © 2011 Pearson, Inc. Slide The Vector v =

Copyright © 2011 Pearson, Inc. Slide Vector Relationships in Space

Copyright © 2011 Pearson, Inc. Slide Equations for a Line in Space

Copyright © 2011 Pearson, Inc. Slide Example Finding Equations for a Line

Copyright © 2011 Pearson, Inc. Slide Example Finding Equations for a Line

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions