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Problem: Four of the vertices of a parallelepiped are: A = (9, 4, -9) , B = (13, 5, -13) , C = (14, 3,

Problem: Four of the vertices of a parallelepiped are:

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A = (9, 4, -9) , B = (13, 5, -13) , C = (14, 3, -17), and D = (7, 7, -6) .Find the volume of the parallelepiped. Volume is =3 Find the other four vertices of the parallelepiped. Vertices are (Enter your answer as a commaseparated list of points.) Point A is contained in three planar faces of the parallelepiped. Each of the other three faces of the parallelepiped is contained in a plane. Find the distances between A and these three planes. Distances are ::: (Enter your answer as a commaseparated list of numbers.) Three planar faces of the parallelepiped meet at point A. Each of these faces is contained in a plane. Find the three acute pairwise angles between these three planes. Angles are (Enter your answer as a commaseparated list of numbers.)

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