This is a temporary pedagogical entry of a simple vector triple product calculation required in an application to a potential employer.
Find the volume of the parallelepiped defined by the three vectors
by calculating the triple product using the dot and cross product rules.
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.