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Find the volume of the parallelepiped with its edges represented by the vectors i + j, i + 2j and i + j + πk.

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Volume of the parallelepiped with its edges represented by the vectors

\(\vec a,\vec b,\vec c\) is \([\vec a\,\vec b\,\vec c]\) = \(\vec a.(\vec b\times\vec c)\) = \(\begin{vmatrix} 1 & 1 & 0 \\ 1 & 2 & 0 \\ 1 & 1 & \pi \end{vmatrix}\) = π

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