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In Exercises 19-22, the magnitudes of vectors u and Vin R³ are given, along with the angle between them. Use this in- formation to find the magnitude of ü x v. 19. || || = 2, ||||=5, 0= 30°

In Exercises 19-22, the magnitudes of vectors u and Vin R³ are given, along with the angle between them. Use this in- formation to find the magnitude of ü x v. 19. || || = 2, ||||=5, 0= 30°

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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10.4) question 19
610 17. Pick any vectors u, Vand win R³ and show that ux (+) = üxV+üxw. In Exercises 19-22, the magnitudes of vectors and in R³ are given, along with the angle between them. Use this in- formation to find the magnitude of ū × v. 19. ||||=2, ||✔||=5, 0 = 30° 20. || || = 3, ||ỹ || = 7, 0= */2 18. Pick any vectors ū, vand win R³ and show that u-(x) = 36. u (u × V).W. 40. A bicycle rider applies 150lb of force, straight down, onto a pedal that extends 7in from the crankshaft, making a 30° angle with the horizontal. Find the magnitude of the torque applied to the crankshaft. and 41. To turn a stubborn bolt, 80lb of force is applied to a 10in wrench. What is the maximum amount of torque that can be applied to the bolt? 42. To turn a stubborn bolt, 80lb of force is applied to a 10in 35. u 37. 38. 39. A ont cra the wrench plied fo torque 43. Show, u v) = 0; ū and v. 44. Show, usi 0.
Transcribed Image Text:610 17. Pick any vectors u, Vand win R³ and show that ux (+) = üxV+üxw. In Exercises 19-22, the magnitudes of vectors and in R³ are given, along with the angle between them. Use this in- formation to find the magnitude of ū × v. 19. ||||=2, ||✔||=5, 0 = 30° 20. || || = 3, ||ỹ || = 7, 0= */2 18. Pick any vectors ū, vand win R³ and show that u-(x) = 36. u (u × V).W. 40. A bicycle rider applies 150lb of force, straight down, onto a pedal that extends 7in from the crankshaft, making a 30° angle with the horizontal. Find the magnitude of the torque applied to the crankshaft. and 41. To turn a stubborn bolt, 80lb of force is applied to a 10in wrench. What is the maximum amount of torque that can be applied to the bolt? 42. To turn a stubborn bolt, 80lb of force is applied to a 10in 35. u 37. 38. 39. A ont cra the wrench plied fo torque 43. Show, u v) = 0; ū and v. 44. Show, usi 0.
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