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Here are the given vertices of a given parallelepiped...

$ (-1, 0, 0), (0, 4, 0), (-3, -5, 2), (-2, 2, -1) $

I know that first, we should translate all to the origin...

$ (0, 0, 0), (1, 4, 0), (-2, -5, 2), (-1, 2, -1) $

Is the matrix to evaluate the determinant by $\begin{bmatrix}1 & 4 & 0\\-2 & -5 & 2\\-1 & 2 & -1\end{bmatrix}$ or is this incorrect?

  • 0
    It looks right.2012-10-17
  • 0
    Yes it is. The volume is 15.2012-10-17

1 Answers 1