Refer to Problem 55. Find the volume of a parallelepiped whose defining vectors are A = i + 6k, B = 2i + 3j − 8k, and C = 8i − 5j + 6k.

Data from problem 55.

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|.

Find the volume of a parallelepiped if the defining vectors are A = 3i − 2j + 4k, B = 2i + j − 2k, and C = 3i − 6j − 2k.

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B A