chapter 11 vectors and the geometry of space. copyright © houghton mifflin company. all rights...
TRANSCRIPT
![Page 1: Chapter 11 Vectors and the Geometry of Space. Copyright © Houghton Mifflin Company. All rights reserved.11-2 Figure 11.1 and Figure 11.2](https://reader035.vdocument.in/reader035/viewer/2022062308/56649dd05503460f94ac54ef/html5/thumbnails/1.jpg)
Chapter 11
Vectors and the Geometry of Space
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Figure 11.1 and Figure 11.2
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Figure 11.4 and Definition of Component Form of a Vector in the Plane
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Definitions of Vector Addition and Scalar Multiplication
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Figure 11.6
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Figure 11.7
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Figure 11.8
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Theorem 11.1 Properties of Vector Operations
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Theorem 11.2 Length of a Scalar Multiple
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Theorem 11.3 Unit Vector in the Direction of v
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Figure 11.14
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Figure 11.15
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Figure 11.16
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Figure 11.17
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Vectors in Space box
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Figure 11.19
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Figure 11.20
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Definition of Parallel Vectors and Figure 11.21
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Definition of Dot Product
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Theorem 11.4 Properties of the Dot Product
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Theorem 11.5 Angle Between Two Vectors and Figure 11.24
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Alternative form of dot product and Figure 11.25
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Definition of Orthogonal Vectors
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Figure 11.26
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Definition of Projection and Vector Components and Figure 11.29
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Theorem 11.6 Projection Using the Dot Product
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Definition of Work and Figure 11.33
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Definition of Cross Product of Two Vectors in Space
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Theorem 11.7 Algebraic Properties of the Cross Product
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Theorem 11.8 Geometric Properties of the Cross Product
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Figure 11.36
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Theorem 11.9 The Triple Scalar Product
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Theorem 11.10 Geometric Property of Triple Scalar Product and Figure 11.41
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Figure 11.43
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Theorem 11.11 Parametric Equations of a Line in Space
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Figure 11.45
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Theorem 11.12 Standard Equation of a Plane in Space
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Figure 11.47
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Figure 11.49
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Figure 11.50
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Figure 11.51
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Theorem 11.13 Distance Between a Point and a Plane and Figure 11.52
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Theorem 11.14 Distance Between a Point and a Line in Space and Figure 11.54
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Definition of a Cylinder and Figure 11.56
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Figure 11.57 and Equations of Cylinders
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Quadric Surface
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Ellipsoid
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Hyperboloid of One Sheet
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Hyperboloid of Two Sheets
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Elliptic Cone
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Elliptic Paraboloid
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Hyperbolic Paraboloid
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Figure 11.62
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Surface of Revolution
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The Cylindrical Coordinate System
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Figure 11.66
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Figure 11.69
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Figure 11.70
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Figure 11.74
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The Spherical Coordinate System
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Figure 11.75
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Figure 11.76