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

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

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.4: Vectors In Three Dimensions

Problem 2E

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