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5. (6,0, 5) + (5,0,6)=

5. (6,0, 5) + (5,0,6)=

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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df earch Exercises for Section 13.2 Plot the points in Exercises 1-4. 1. (1,0,0) 3. (3,-1,5) 2. (0,2,4) 4. (2,-1,1) Complete the computations in Exercises 5-8. 5. (6,0, 5) + (5,0, 6) = 6. (0,0,0) + (0,0,0) = 7. (1,3,5) + 4(-1, -3, -5) = 8. (2,0, 1)-8(3, — ½, 4) = 9. Sketch v, 2v, and -v, where v has components (1,-1,-1). 10. Sketch v, 3v, and - v, where v has components (2, -1, 1). 11. Let v have components (0, 1, 1) and w have com- ponents (1, 1, 0). Find v + w and sketch. 12. Let v have components (2, -1, 1) and w have components (1,-1,-1). Find v + w and sketch. In Exercises 13-20, express the given vector in terms of the standard basis. 13. The vector with components (-1, 2, 3). 14. The vector with components (0, 2, 2). 15. The vector with components (7,2, 3). 16. The vector with components (-1,2, 7). 17. The vector from (0, 1, 2) to (1, 1, 1). 18. The vector from (3, 0, 5) to (2, 7, 6). 19. The vector from (1, 0, 0) to (2, -1, 1). 20. The vector from (1,0,0) to (3,-2, 2). 21. A ship at position (1,0) on a nautical chart (with north in the positive y direction) sights a rock at position (2, 4). What is the vector joining the ship to the rock? What angle does this vector make with due north? This is called the bearing of the rock from the ship. 22. Suppose that the ship in Exercise 21 due north and travelling at a speed Page relative to the water. There is a current nowing Open 23. A a m p (a 24. TH eas spe spe vec (a) (b) 25. A f (b tal, and figu 26. Two 15 / 50 to a A PL a for (a) 17 th
Transcribed Image Text:df earch Exercises for Section 13.2 Plot the points in Exercises 1-4. 1. (1,0,0) 3. (3,-1,5) 2. (0,2,4) 4. (2,-1,1) Complete the computations in Exercises 5-8. 5. (6,0, 5) + (5,0, 6) = 6. (0,0,0) + (0,0,0) = 7. (1,3,5) + 4(-1, -3, -5) = 8. (2,0, 1)-8(3, — ½, 4) = 9. Sketch v, 2v, and -v, where v has components (1,-1,-1). 10. Sketch v, 3v, and - v, where v has components (2, -1, 1). 11. Let v have components (0, 1, 1) and w have com- ponents (1, 1, 0). Find v + w and sketch. 12. Let v have components (2, -1, 1) and w have components (1,-1,-1). Find v + w and sketch. In Exercises 13-20, express the given vector in terms of the standard basis. 13. The vector with components (-1, 2, 3). 14. The vector with components (0, 2, 2). 15. The vector with components (7,2, 3). 16. The vector with components (-1,2, 7). 17. The vector from (0, 1, 2) to (1, 1, 1). 18. The vector from (3, 0, 5) to (2, 7, 6). 19. The vector from (1, 0, 0) to (2, -1, 1). 20. The vector from (1,0,0) to (3,-2, 2). 21. A ship at position (1,0) on a nautical chart (with north in the positive y direction) sights a rock at position (2, 4). What is the vector joining the ship to the rock? What angle does this vector make with due north? This is called the bearing of the rock from the ship. 22. Suppose that the ship in Exercise 21 due north and travelling at a speed Page relative to the water. There is a current nowing Open 23. A a m p (a 24. TH eas spe spe vec (a) (b) 25. A f (b tal, and figu 26. Two 15 / 50 to a A PL a for (a) 17 th
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