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In Exercises 7-16, vectors and are given. Compute ū x v and show this is orthogonal to both ū and v. 7. U=(3,2,-2), V = (0,1,5)

In Exercises 7-16, vectors and are given. Compute ū x v and show this is orthogonal to both ū and v. 7. U=(3,2,-2), V = (0,1,5)

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 7 please show all work
Problems In Exercises 7-16, vectors ū and are given. Compute ū x v and show this is orthogonal to both ū and v. 7. =(3,2,-2), v= (0,1,5) 8. =(5,-4,3), ✔= (2, −5,1) 9. =(4,-5,-5), V = (3,3,4) 10. =(-4,7,-10), ✔= (4,4,1) 11. = (1,0,1), ✔= (5,0,7) 12. = (1,5,-4), = (-2,-10,8) = (c,d, 0) 13. = (a, b, 0), 14. ü = 7, v=j 15. u=7, V=K 16. ū=j, v=k 17. Pick any vectors ū, vand win R³ and show that ux (v+w) = üx V+ūX w. 18. Pick any vectors ū, vand w in R³ and show that ū- (vxw) = (u × V). w. In Exercises 19-22, the magnitudes of vectors ū and vin R³ are given, along with the angle between them. Use this in- formation to find the magnitude of ū X V. 19. || || = 2, |||| = 5, 0 = 30° 20. || || = 3, ||||=7, 0= π/2 27. vertice 28. Vertices 29. Vertices 30. Vertices In Exercises the given ve gles.) 31. Vertices: 34. 32. Vertices: In Exercises 3 defined by the 33. = (1, 1, 1 = (-1,2, In Exercises 35 and v. 35. = (1, 1, 1), 36. = (1, -2, 1 37. ū= (5, 0, 2), 38. = (1, -2, 1) 39. A bicycle rider onto a pedal crankshaft. Fine the crankshaft.
Transcribed Image Text:Problems In Exercises 7-16, vectors ū and are given. Compute ū x v and show this is orthogonal to both ū and v. 7. =(3,2,-2), v= (0,1,5) 8. =(5,-4,3), ✔= (2, −5,1) 9. =(4,-5,-5), V = (3,3,4) 10. =(-4,7,-10), ✔= (4,4,1) 11. = (1,0,1), ✔= (5,0,7) 12. = (1,5,-4), = (-2,-10,8) = (c,d, 0) 13. = (a, b, 0), 14. ü = 7, v=j 15. u=7, V=K 16. ū=j, v=k 17. Pick any vectors ū, vand win R³ and show that ux (v+w) = üx V+ūX w. 18. Pick any vectors ū, vand w in R³ and show that ū- (vxw) = (u × V). w. In Exercises 19-22, the magnitudes of vectors ū and vin R³ are given, along with the angle between them. Use this in- formation to find the magnitude of ū X V. 19. || || = 2, |||| = 5, 0 = 30° 20. || || = 3, ||||=7, 0= π/2 27. vertice 28. Vertices 29. Vertices 30. Vertices In Exercises the given ve gles.) 31. Vertices: 34. 32. Vertices: In Exercises 3 defined by the 33. = (1, 1, 1 = (-1,2, In Exercises 35 and v. 35. = (1, 1, 1), 36. = (1, -2, 1 37. ū= (5, 0, 2), 38. = (1, -2, 1) 39. A bicycle rider onto a pedal crankshaft. Fine the crankshaft.
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