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Find the volume of a parallelepiped if four of its eight vertices are A(0,0,0), B(1,5,0), C(0, – 4,5), and D(4, -6,7). units cubed. The volume of the parallelepiped with the given vertices A, B, C and D is (Simplify your answer.)

Find the volume of a parallelepiped if four of its eight vertices are A(0,0,0), B(1,5,0), C(0, – 4,5), and D(4, -6,7). units cubed. The volume of the parallelepiped with the given vertices A, B, C and D is (Simplify your answer.)

Advanced Engineering Mathematics
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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**Geometry Problem:** Find the volume of a parallelepiped if four of its eight vertices are \( A(0,0,0) \), \( B(1,5,0) \), \( C(0, -4,5) \), and \( D(4, -6,7) \). **Question:** The volume of the parallelepiped with the given vertices \( A \), \( B \), \( C \), and \( D \) is \(\_\_\_\_\) units cubed. *(Simplify your answer.)*
Transcribed Image Text:**Geometry Problem:** Find the volume of a parallelepiped if four of its eight vertices are \( A(0,0,0) \), \( B(1,5,0) \), \( C(0, -4,5) \), and \( D(4, -6,7) \). **Question:** The volume of the parallelepiped with the given vertices \( A \), \( B \), \( C \), and \( D \) is \(\_\_\_\_\) units cubed. *(Simplify your answer.)*
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