1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 1 Homework, Page 693 Draw a sketch that shows the point. 1.

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 2 Homework, Page 693 Compute the distance between the points. 5.

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 3 Homework, Page 693 Find the midpoint of the segment PQ. 9.

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 4 Homework, Page 693 Write an equation for the sphere with the given point as its center and the given number as its radius. 13.

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 5 Homework, Page 693 Sketch a graph of the equation. Label all intercepts. 17.

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 6 Homework, Page 693 Sketch a graph of the equation. Label all intercepts. 21.

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 7 Homework, Page 693 25.

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 8 Homework, Page 693 29.

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 9 Homework, Page 693 33.An airplane just after takeoff is headed west and is climbing at a 20º angle relative to flat ground with airspeed of 200 mph. If the wind is out of the southwest at 8 mph, calculate a vector that represents the plane’s velocity relative to the point of takeoff.

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 10 Homework, Page 693 37.

11. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 11 Homework, Page 693 Use points A(-1, 2, 4), B(0, 6, -3), and C(2, -4, 1). 41.

12. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 12 Homework, Page 693 Use points A(-1, 2, 4), B(0, 6, -3), and C(2, -4, 1). 45.

13. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 13 Homework, Page 693 (a) Sketch the line defined by the pair of equations, and (b) give a geometric description of the line, including its direction and its position relative to the coordinate frame. 49. a. b. The line is a vertical line coinciding with the z-axis.

14. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 14 Homework, Page 693 53. Write a vector equation for the line through the distinct points

15. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 15 Homework, Page 693 57. True. The equation is one in three variables, where the third variable has a coefficient of zero.

16. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 16 Homework, Page 693 61. a. b. c. d. e.

17. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 17 Homework, Page 693 Use the definition to find the cross product. 65.

18. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 18 Homework Homework Assignment #29 Review Sections 8.1 – 8.6 Page 696, Exercises: 1 – 73 (EOO), 75, 79 Chapter 8 Test next time