$\"\"$

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The vertices are $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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If u, v and w are the adjacent edges then the volume of the parallelepiped $\"\"$ is

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$\"\"$ .

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Find the vectors u, v and w using vertices.

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If $\"\"$ and $\"\"$ are the two vertices then the component form of the vector u is

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$\"\"$

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If $\"\"$ and $\"\"$ are the two vertices then the component form of the vector u is

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$\"\"$

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If $\"\"$ and $\"\"$ are the two vertices then the component form of the vector u is

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$\"\"$

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$\"\"$

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The triple scalar product :

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If $\"\"$ , $\"\"$ and $\"\"$ are the vectors then the triple scalar product is

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$\"\"$

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The adjacent edges of the parallelepiped are $\"\"$ , $\"\"$ and $\"\"$ .

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Using the above vectors find the volume of the parallelepiped.

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$\"\"$

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$\"\"$

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The volume of the parallelepiped $\"\"$ is $\"\"$ .