A parallelepiped is a prism whose faces are all parallelograms. Let A, B, and C be the vectors that define the parallelepiped shown in the figure. The volume V of the parallelepiped is given by the formula V = (A B) C. B Find the volume of the parallelepiped with edges A = i+ 2k, B= 4i + 4j - 4k, and C = 4i- 9j + 4k. ..... The volume of the parallelepiped is (Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 15E
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A parallelepiped is a prism whose faces are all parallelograms. Let A, B, and C be the vectors that
define the parallelepiped shown in the figure. The volume V of the parallelepiped is given by the
formula V = (A × B) • C.
B
Find the volume of the parallelepiped with edges A = i+ 2k, B = 4i + 4j – 4k, and C = 4i - 9j + 4k.
A
The volume of the parallelepiped is
(Simplify your answer.)
Transcribed Image Text:A parallelepiped is a prism whose faces are all parallelograms. Let A, B, and C be the vectors that define the parallelepiped shown in the figure. The volume V of the parallelepiped is given by the formula V = (A × B) • C. B Find the volume of the parallelepiped with edges A = i+ 2k, B = 4i + 4j – 4k, and C = 4i - 9j + 4k. A The volume of the parallelepiped is (Simplify your answer.)
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