This is a temporary pedagogical entry of a simple vector triple product calculation required in an application to a potential employer.

**Problem**:

Find the volume of the parallelepiped defined by the three vectors

by calculating the triple product using the dot and cross product rules.

**Solution**:

Express the vectors in terms of the canonical orthonormal vector basis as

Compute the vector cross product first:

Now calculate the inner or dot product

So the unitless volume of the parallelpiped is 18.

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