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 = √ The volume of the parallelepiped formed by u, v and w is = 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 = * √ x. Check 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 = t1/ x 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 = √ The volume of the parallelepiped formed by u, v and w is = 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 = * √ x. Check 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 = t1/ x x .
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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 = √
The volume of the parallelepiped formed by u, v and w is =
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 = * √
x.
Check
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
x .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98fdc1e3-416c-49e2-9808-872164c20a53%2F59c38690-9536-4ae8-89e7-d8bec936eccb%2F2gypdtp_processed.jpeg&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 = √
The volume of the parallelepiped formed by u, v and w is =
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 = * √
x.
Check
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
x .
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