Finding the Scalar Triple Product of Three Vectors

[Ashutosh]

Homework Statement

The edges of a parallelopiped are given by the vectors (2î + 3j^+ 4k^), 4j^ and (5j^ + mk^). What should be the value of m inorder that the volume of the parallelopiped be 24?

Homework Equations

The Attempt at a Solution

Volume of the parallelopiped is the scalar triple product of three vectors. I want to know the formula or method of finding dot product of three vectors.

 

[Orodruin]

The scalar triple product is not a dot product of three vectors, it is $\vec u \cdot (\vec v \times \vec w)$.

 

[Ashutosh]

The scalar triple product is not a dot product of three vectors, it is $\vec u \cdot (\vec v \times \vec w)$.

Thank You.