In Problems 23–44, use the given vectors u, v, and w to find each expression. u = 21 - 3j + k v = -3i + 3j + 2k w = i+j+ 3k 23. и X V 24. v X w 25. V Xи 26. w X v 27. v X v 30. v x (4w) 28. w X w 31. и х (2v) 29. (Зи) X у 32. (-3v) X w 35. u• (v X w) 33. u• (u X v) 36. (и X v) w 34. v. (v X w) 37. v• (u X w) 38. (v X u) • w 39. и х (у X v) 40. (w x w) x v 42. Find a vector orthogonal to both u and w. 41. Find a vector orthogonal to both u and v. 43. Find a vector orthogonal to both u and i + j. 44. Find a vector orthogonal to both u andj + k.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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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In Problems 23–44, use the given vectors u, v, and w to find each expression.
u = 21 - 3j + k
v = -3i + 3j + 2k
w = i+j+ 3k
23. и X V
24. v X w
25. V Xи
26. w X v
27. v X v
30. v x (4w)
28. w X w
31. и х (2v)
29. (Зи) X у
32. (-3v) X w
35. u• (v X w)
33. u• (u X v)
36. (и X v) w
34. v. (v X w)
37. v• (u X w)
38. (v X u) • w
39. и х (у X v)
40. (w x w) x v
42. Find a vector orthogonal to both u and w.
41. Find a vector orthogonal to both u and v.
43. Find a vector orthogonal to both u and i + j.
44. Find a vector orthogonal to both u andj + k.
Transcribed Image Text:In Problems 23–44, use the given vectors u, v, and w to find each expression. u = 21 - 3j + k v = -3i + 3j + 2k w = i+j+ 3k 23. и X V 24. v X w 25. V Xи 26. w X v 27. v X v 30. v x (4w) 28. w X w 31. и х (2v) 29. (Зи) X у 32. (-3v) X w 35. u• (v X w) 33. u• (u X v) 36. (и X v) w 34. v. (v X w) 37. v• (u X w) 38. (v X u) • w 39. и х (у X v) 40. (w x w) x v 42. Find a vector orthogonal to both u and w. 41. Find a vector orthogonal to both u and v. 43. Find a vector orthogonal to both u and i + j. 44. Find a vector orthogonal to both u andj + k.
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