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= |(AXB) •C. Find the volume of the parallelepiped with edges A = 5i – 4j + 4k, B = -i+ 4j + k, and C = 7i- 3j + 9k. The volume of the parallelepiped is cubic units. (Simplify your answer.)

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