Exercise: Let u = [3, −2, 1], v = [1, 1, 1] and w = [2, -2,0]. The area of the parallelogram formed byu and v is A = ✓ 38 The volume of the parallelepiped formed by u, v and w is V = 2 Given that the volume of a parallelepiped is the area of its base times its height, the height of the parallelepiped formed by u, v and w when its base is viewed as the parallelogram formed by u and v is h = 2 38 The parallelepiped formed by u and v and ku x V will have the same volume as the parallelepiped formed by u, v and w if k = +1/ x .
Exercise: Let u = [3, −2, 1], v = [1, 1, 1] and w = [2, -2,0]. The area of the parallelogram formed byu and v is A = ✓ 38 The volume of the parallelepiped formed by u, v and w is V = 2 Given that the volume of a parallelepiped is the area of its base times its height, the height of the parallelepiped formed by u, v and w when its base is viewed as the parallelogram formed by u and v is h = 2 38 The parallelepiped formed by u and v and ku x V will have the same volume as the parallelepiped formed by u, v and w if k = +1/ x .
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
Related questions
Question
Exercise: Let u=[3,−2,1]�=[3,−2,1], v=[1,1,1]�=[1,1,1] and w=[2,−2,0]�=[2,−2,0].
The area of the parallelogram formed by u� and v� is A=√�=Answer 1 Question 14.
The volume of the parallelepiped formed by u,v�,� and w� is V=�=Answer 2 Question 14.
Given that the volume of a parallelepiped is the area of its base times its height, the height of the parallelepiped formed by u,v�,� and w� when its base is viewed as the parallelogram formed by u� and v� is h=ℎ=Answer 3 Question 14/√/Answer 4 Question 14.
The parallelepiped formed by u� and v� and ku×v��×� will have the same volume as the parallelepiped formed by u,v�,� and w� if k=±1/�=±1/x. what is x ?
![Exercise: Let u = [3, −2, 1], v = [1, 1, 1] and w [2, -2,0].
The area of the parallelogram formed by u and v is A = ✓ 38
The volume of the parallelepiped formed by u, v and w is V = 2
Given that the volume of a parallelepiped is the area of its base times its height, the height of the parallelepiped formed by u, v and w
when its base is viewed as the parallelogram formed by u and v is h = 2
38
The parallelepiped formed by u and v and ku x v will have the same volume as the parallelepiped formed by u, vand w if k = +1/
x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafbfe84c-1151-4703-a547-5b46e0269629%2F8632a926-dc2b-4edc-98fb-8a0e30bad909%2Ff11s5f_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise: Let u = [3, −2, 1], v = [1, 1, 1] and w [2, -2,0].
The area of the parallelogram formed by u and v is A = ✓ 38
The volume of the parallelepiped formed by u, v and w is V = 2
Given that the volume of a parallelepiped is the area of its base times its height, the height of the parallelepiped formed by u, v and w
when its base is viewed as the parallelogram formed by u and v is h = 2
38
The parallelepiped formed by u and v and ku x v will have the same volume as the parallelepiped formed by u, vand w if k = +1/
x.
![Exercise: Let u = [3, −2, 1], v = [1, 1, 1] and w [2, -2,0].
The area of the parallelogram formed by u and v is A = ✓ 38
The volume of the parallelepiped formed by u, v and w is V = 2
Given that the volume of a parallelepiped is the area of its base times its height, the height of the parallelepiped formed by u, v and w
when its base is viewed as the parallelogram formed by u and v is h = 2
38
The parallelepiped formed by u and v and ku x v will have the same volume as the parallelepiped formed by u, vand w if k = +1/
x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafbfe84c-1151-4703-a547-5b46e0269629%2F8632a926-dc2b-4edc-98fb-8a0e30bad909%2Feiyrlqw_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise: Let u = [3, −2, 1], v = [1, 1, 1] and w [2, -2,0].
The area of the parallelogram formed by u and v is A = ✓ 38
The volume of the parallelepiped formed by u, v and w is V = 2
Given that the volume of a parallelepiped is the area of its base times its height, the height of the parallelepiped formed by u, v and w
when its base is viewed as the parallelogram formed by u and v is h = 2
38
The parallelepiped formed by u and v and ku x v will have the same volume as the parallelepiped formed by u, vand w if k = +1/
x.
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