jonnaevans9573 jonnaevans9573

05-08-2019
Mathematics

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Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at(1,0,−2),(1,2,3), and (7,1,0)

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LammettHash LammettHash

06-08-2019

The signed volume is equal to the scalar triple product of the vectors formed by these vertices:

[tex](1,0,-2)\cdot((1,2,3)\times(7,1,0))=(1,0,-2)\cdot(-3,21,-13)=-29[/tex]

Then the volume would be 29.

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