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Pick any three vectors u, u, and w (e.g., u = (2,-1,2), = (-3, 4, 0), = (1, 3, 2)). Determine the following quantities. (h) Unit vectors in the directions of u and v; vectors of magnitude 15 in the directions of u and 7. (i) Area of the triangle whose sides are determined by u and v. (j) Work done on an object by a force given by u displacing the object by the amount given by w.

Pick any three vectors u, u, and w (e.g., u = (2,-1,2), = (-3, 4, 0), = (1, 3, 2)). Determine the following quantities. (h) Unit vectors in the directions of u and v; vectors of magnitude 15 in the directions of u and 7. (i) Area of the triangle whose sides are determined by u and v. (j) Work done on an object by a force given by u displacing the object by the amount given by w.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 16E
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Pick any three vectors u, u, and w (e.g., u = (2, -1, 2), = (-3, 4, 0), = (1, 3, 2)). Determine the following quantities. (h) Unit vectors in the directions of u and ; vectors of magnitude 15 in the directions of u and v. (i) Area of the triangle whose sides are determined by u and 7. (j) Work done on an object by a force given by u displacing the object by the amount given by w.
Transcribed Image Text:Pick any three vectors u, u, and w (e.g., u = (2, -1, 2), = (-3, 4, 0), = (1, 3, 2)). Determine the following quantities. (h) Unit vectors in the directions of u and ; vectors of magnitude 15 in the directions of u and v. (i) Area of the triangle whose sides are determined by u and 7. (j) Work done on an object by a force given by u displacing the object by the amount given by w.
Expert Solution
Step 1

Givenu→=2,-1,2=2i^-j^+2k^v→=-3,4,0=-3i^+4j^+0k^w→=1,3,2=i^+3j^+2k^

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