$\"\"$

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The volume of the parallelepiped :

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The volume of the parallelepiped determined by the vectors $\"\"$ and $\"\"$ is the magnitude of their scalar triple product.

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$\"\"$ .

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$\"\"$

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

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The adjacent edges are $\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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

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Find $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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Find $\"\"$ .

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The vectors are $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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Therefore, the volume of the parallelepiped is $\"\"$ .

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$\"\"$

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