Products and Norms: Let u = (2, 4, –1), v = (0, –3, 2), and w = (-1,1,5). Use these vectors to find the specified quanti- ties in Exercises 25-36. 25. ||ul 26. |v|| 27. u. v 28. и х V 29. the angle between u and v 30. the area of the parallelogram determined by u and v 31. the lengths of the diagonals of the parallelogram deter- mined by u and v 32. a vector orthogonal to both u and v 33. a unit vector orthogonal to both u and v 34. the volume of the parallelepiped determined by u, v, and w 35. the areas of the six faces of the parallelepiped deter- mined by u, v, and w 36. the lengths of the four diagonals of the parallelepiped determined by u, v, and w

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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Products and Norms: Let u = (2, 4, –1), v = (0, –3, 2), and
w = (-1,1,5). Use these vectors to find the specified quanti-
ties in Exercises 25-36.
25. ||ul
26. |v||
27. u. v
28. и х V
29. the angle between u and v
30. the area of the parallelogram determined by u and v
31. the lengths of the diagonals of the parallelogram deter-
mined by u and v
32. a vector orthogonal to both u and v
33. a unit vector orthogonal to both u and v
34. the volume of the parallelepiped determined by u, v,
and w
35. the areas of the six faces of the parallelepiped deter-
mined by u, v, and w
36. the lengths of the four diagonals of the parallelepiped
determined by u, v, and w
Transcribed Image Text:Products and Norms: Let u = (2, 4, –1), v = (0, –3, 2), and w = (-1,1,5). Use these vectors to find the specified quanti- ties in Exercises 25-36. 25. ||ul 26. |v|| 27. u. v 28. и х V 29. the angle between u and v 30. the area of the parallelogram determined by u and v 31. the lengths of the diagonals of the parallelogram deter- mined by u and v 32. a vector orthogonal to both u and v 33. a unit vector orthogonal to both u and v 34. the volume of the parallelepiped determined by u, v, and w 35. the areas of the six faces of the parallelepiped deter- mined by u, v, and w 36. the lengths of the four diagonals of the parallelepiped determined by u, v, and w
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