Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter 9.4, Problem 21PS
To determine
To find: The area of the parallelogram of two
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In Problems 23–25, use the vectors u = 2i - 3j + k andv = - i + 3j + 2k.23. Find u * v.24. Find the direction angles for u.25. Find the area of the parallelogram that has u and v asadjacent sides.
In Problems 21–26, decompose v into two vectors v1 and v2 , where v1 is parallel to w, and v2 is orthogonal to w.
25. v = 3i + j, w = - 2i - j
In Problem ,use the vectors in the figure at the right to graph each of the following vectors. 3v + u - 2w
Chapter 9 Solutions
Calculus
Ch. 9.1 - Prob. 1PSCh. 9.1 - Prob. 2PSCh. 9.1 - Prob. 3PSCh. 9.1 - Prob. 4PSCh. 9.1 - Prob. 5PSCh. 9.1 - Prob. 6PSCh. 9.1 - Prob. 7PSCh. 9.1 - Prob. 8PSCh. 9.1 - Prob. 9PSCh. 9.1 - Prob. 10PS
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Prob. 16PSCh. 9.6 - Prob. 17PSCh. 9.6 - Prob. 18PSCh. 9.6 - Prob. 19PSCh. 9.6 - Prob. 20PSCh. 9.6 - Prob. 21PSCh. 9.6 - Prob. 22PSCh. 9.6 - Prob. 23PSCh. 9.6 - Prob. 24PSCh. 9.6 - Prob. 25PSCh. 9.6 - Prob. 26PSCh. 9.6 - Prob. 27PSCh. 9.6 - Prob. 28PSCh. 9.6 - Prob. 29PSCh. 9.6 - Prob. 30PSCh. 9.6 - Prob. 31PSCh. 9.6 - Prob. 32PSCh. 9.6 - Prob. 33PSCh. 9.6 - Prob. 34PSCh. 9.6 - Prob. 35PSCh. 9.6 - Prob. 36PSCh. 9.6 - Prob. 37PSCh. 9.6 - Prob. 38PSCh. 9.6 - Prob. 39PSCh. 9.6 - Prob. 40PSCh. 9.6 - Prob. 41PSCh. 9.6 - Prob. 42PSCh. 9.6 - Prob. 43PSCh. 9.6 - Prob. 44PSCh. 9.6 - Prob. 45PSCh. 9.6 - Prob. 46PSCh. 9.6 - Prob. 47PSCh. 9.6 - Prob. 48PSCh. 9.6 - Prob. 49PSCh. 9.6 - Prob. 50PSCh. 9.6 - Prob. 51PSCh. 9.6 - Prob. 52PSCh. 9.6 - Prob. 53PSCh. 9.6 - Prob. 54PSCh. 9.6 - Prob. 55PSCh. 9.6 - Prob. 56PSCh. 9.6 - Prob. 57PSCh. 9.6 - Prob. 58PSCh. 9.6 - Prob. 59PSCh. 9.6 - Prob. 60PSCh. 9.7 - Prob. 1PSCh. 9.7 - Prob. 2PSCh. 9.7 - Prob. 3PSCh. 9.7 - Prob. 4PSCh. 9.7 - Prob. 5PSCh. 9.7 - Prob. 6PSCh. 9.7 - Prob. 7PSCh. 9.7 - Prob. 8PSCh. 9.7 - Prob. 9PSCh. 9.7 - Prob. 10PSCh. 9.7 - Prob. 11PSCh. 9.7 - Prob. 12PSCh. 9.7 - Prob. 13PSCh. 9.7 - Prob. 14PSCh. 9.7 - Prob. 15PSCh. 9.7 - Prob. 16PSCh. 9.7 - Prob. 17PSCh. 9.7 - Prob. 18PSCh. 9.7 - Prob. 19PSCh. 9.7 - Prob. 20PSCh. 9.7 - Prob. 21PSCh. 9.7 - Prob. 22PSCh. 9.7 - Prob. 23PSCh. 9.7 - Prob. 24PSCh. 9.7 - Prob. 25PSCh. 9.7 - Prob. 26PSCh. 9.7 - Prob. 27PSCh. 9.7 - Prob. 28PSCh. 9.7 - Prob. 29PSCh. 9.7 - Prob. 30PSCh. 9.7 - Prob. 31PSCh. 9.7 - Prob. 32PSCh. 9.7 - Prob. 33PSCh. 9.7 - Prob. 34PSCh. 9.7 - Prob. 35PSCh. 9.7 - Prob. 36PSCh. 9.7 - Prob. 37PSCh. 9.7 - Prob. 38PSCh. 9.7 - Prob. 39PSCh. 9.7 - Prob. 40PSCh. 9.7 - Prob. 41PSCh. 9.7 - Prob. 42PSCh. 9.7 - Prob. 43PSCh. 9.7 - Prob. 44PSCh. 9.7 - Prob. 45PSCh. 9.7 - Prob. 46PSCh. 9.7 - Prob. 47PSCh. 9.7 - Prob. 48PSCh. 9.7 - Prob. 49PSCh. 9.7 - Prob. 50PSCh. 9.7 - Prob. 51PSCh. 9.7 - Prob. 52PSCh. 9.7 - Prob. 53PSCh. 9.7 - Prob. 54PSCh. 9.7 - Prob. 55PSCh. 9.7 - Prob. 56PSCh. 9.7 - Prob. 57PSCh. 9.7 - Prob. 58PSCh. 9.7 - Prob. 59PSCh. 9.7 - Prob. 60PSCh. 9 - Prob. 1PECh. 9 - Prob. 2PECh. 9 - Prob. 3PECh. 9 - Prob. 4PECh. 9 - Prob. 5PECh. 9 - Prob. 6PECh. 9 - Prob. 7PECh. 9 - Prob. 8PECh. 9 - Prob. 9PECh. 9 - Prob. 10PECh. 9 - Prob. 11PECh. 9 - Prob. 12PECh. 9 - Prob. 13PECh. 9 - Prob. 14PECh. 9 - Prob. 15PECh. 9 - Prob. 16PECh. 9 - Prob. 17PECh. 9 - Prob. 18PECh. 9 - Prob. 19PECh. 9 - Prob. 20PECh. 9 - Prob. 21PECh. 9 - Prob. 22PECh. 9 - Prob. 23PECh. 9 - Prob. 24PECh. 9 - Prob. 25PECh. 9 - Prob. 26PECh. 9 - Prob. 27PECh. 9 - Prob. 28PECh. 9 - Prob. 29PECh. 9 - Prob. 30PECh. 9 - Prob. 1SPCh. 9 - Prob. 2SPCh. 9 - Prob. 3SPCh. 9 - Prob. 4SPCh. 9 - Prob. 5SPCh. 9 - Prob. 6SPCh. 9 - Prob. 7SPCh. 9 - Prob. 8SPCh. 9 - Prob. 9SPCh. 9 - Prob. 10SPCh. 9 - Prob. 11SPCh. 9 - Prob. 12SPCh. 9 - Prob. 13SPCh. 9 - Prob. 14SPCh. 9 - Prob. 15SPCh. 9 - Prob. 16SPCh. 9 - Prob. 17SPCh. 9 - Prob. 18SPCh. 9 - Prob. 19SPCh. 9 - Prob. 20SPCh. 9 - Prob. 21SPCh. 9 - Prob. 22SPCh. 9 - Prob. 23SPCh. 9 - Prob. 24SPCh. 9 - 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- In Problems 31–35, use the vectors v = - 2i + j and w = 4i - 3j to find: 31. v + w 32. 4v - 3w 33. || v || 34. || v || + || w || 35. Find a unit vector in the same direction as v.arrow_forwardIn Problems 40–45, use the vectors v = 3i + j - 2k and w = - 3i + 2j - k to find each expression. 40. 4v - 3w 41. || v - w || 42. || v || - || w || 43. v * w 44. v . (v * w) 45. Find a unit vector orthogonal to both v and w.arrow_forwardIn Problem ,use the vectors in the figure at the right to graph each of the following vectors. u - varrow_forward
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