Chapter 12 Vectors Cartesian Space Coordinates a Cartesian

Cartesian Space Coordinates Cartesian coordinates, p. 707, figure 12. 1. 2 Main Menu Salas,

Cartesian Space Coordinates Distance formula, equations for a sphere, p. 708 Main Menu Salas,

Cartesian Space Coordinates Midpoint formula, p. 709 Main Menu Salas, Hille, Etgen Calculus: One

Vectors Definition 12. 3. 1, p 714, figure 12. 3. 1 Main Menu Salas,

Vectors Parallel vectors, p. 12. 3. 2 Main Menu Salas, Hille, Etgen Calculus: One

Vectors Norm, properties of norm, p. 717 Main Menu Salas, Hille, Etgen Calculus: One

Vectors Unit coordinate vectors, (12. 3. 5), pp. 718, 719 Main Menu Salas, Hille,

Dot Product Definition 12. 4. 1, p. 722 Main Menu Salas, Hille, Etgen Calculus:

Dot Product Properties of dot product, (12. 4. 2 – 12. 4. 6), pp.

Dot Product (12. 4. 7 -9), angle between two vectors, pp. 724, 725 Main

Dot Product (12. 4. 13), directional angles, direction cosines, p. 728, figure 12. 4.

Dot Product Triangle inequality, p. 729 Main Menu Salas, Hille, Etgen Calculus: One and

Cross Product Definition 12. 5. 1, p. 733 Main Menu Salas, Hille, Etgen Calculus:

Cross Product Properties of cross product, (12. 5. 2 – 4), pp. 733, 734

Cross Product Triple scalar product, (12. 5. 5 -6), p. 734, figure 12. 5.

Cross Product Theorem 12. 5. 8’, p. 736 Main Menu Salas, Hille, Etgen Calculus:

Lines Vector equation of a line, p. 741, figures 12. 6. 1 -2 Main

Lines Direction vector, direction numbers, p. 742, figure 12. 6. 4 Main Menu Salas,

Lines Scalar equations, symmetric equations, (12. 6. 4 -5), pp. 743, 744 Main Menu

Lines Distance point to a line, (12. 6. 7), p. 748, figure 12. 6.

Planes Scalar equation, (12. 7. 1), p. 750, figure 12. 7. 1 Main Menu

Planes Vector equation, (12. 7. 2 -3), p. 752, figure 12. 7. 3 Main

Planes Distance from a point to a plane, (12. 7. 7), p. 757, figure

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Chapter 12: Vectors Cartesian Space Coordinates a. Cartesian coordinates, p. 707, figure 12. 1. 2 b. Distance formula, equations for a sphere, p. 708 c. Midpoint formula, p. 709 Vectors a. Definition 12. 3. 1, p. 714, figure 12. 3. 1 b. Parallel vectors, p. 12. 3. 2 c. Norm, properties of norm, p. 717 d. Unit coordinate vectors, (12. 3. 5), pp. 718, 719 Dot Product a. Definition 12. 4. 1, p. 722 b. Properties of dot product, (12. 4. 2 – 12. 4. 6), pp. 722, 723 c. (12. 4. 7 - 9), angle between two vectors, pp. 724, 725 d. (12. 4. 13), direction angles, direction cosines, p. 728, figure 12. 4. 7 e. Triangle inequality, p. 729 Cross Product a. Definition 12. 5. 1, p. 733 b. Properties of cross product, (12. 5. 2 – 4), pp. 733, 734 c. Triple scalar product, (12. 5. 5 -6), p. 734, figure 12. 5. 5 d. Theorem 12. 5. 8’, p. 736 Lines a. Vector equation of a line, p. 741, figures 12. 6. 1 -2 b. Direction vector, direction numbers, p. 742, figure 12. 6. 4 c. Scalar equations, symmetric equations, (12. 6. 4 -5), pp. 743, 744 d. Distance point to a line, (12. 6. 7), p. 748, figure 12. 6. 10 Planes a. Scalar equation, (12. 7. 1), p. 750, figure 12. 7. 1 b. Vector equation, (12. 7. 2 -3), p. 752, figure 12. 7. 3 c. Distance from a point to a plane, (12. 7. 7), p. 757, figure 12. 7. 7 Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.

Cartesian Space Coordinates Cartesian coordinates, p. 707, figure 12. 1. 2 Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.

Cartesian Space Coordinates Distance formula, equations for a sphere, p. 708 Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.

Dot Product Properties of dot product, (12. 4. 2 – 12. 4. 6), pp. 722. 723 Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.

Dot Product (12. 4. 13), directional angles, direction cosines, p. 728, figure 12. 4. 7 Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.

Cross Product Triple scalar product, (12. 5. 5 -6), p. 734, figure 12. 5. 5 Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.

Planes Distance from a point to a plane, (12. 7. 7), p. 757, figure 12. 7. 7 Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved.