Given the vector fields A=x²y + 4xza-5yz² a a X B=-2xyz a - 3y²z a - 3y²z a + 4yz² a X y C=xa_ - 5xy a -7xy²z az Determine the volume of the parallelepiped formed by the three vectors as sides at (-3,-1,2).

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 73CR
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Given the vector fields
A=x²y a + 4xz a
X
y
- 5yz² az
-
B=-2xyz a - 3y²z a + 4yz²a_
X
y
Ĉ=x a_-5xy a -7xy²z az
y
Determine the volume of the parallelepiped formed by the three vectors as sides at (-3,-1,2).
Transcribed Image Text:Given the vector fields A=x²y a + 4xz a X y - 5yz² az - B=-2xyz a - 3y²z a + 4yz²a_ X y Ĉ=x a_-5xy a -7xy²z az y Determine the volume of the parallelepiped formed by the three vectors as sides at (-3,-1,2).
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