The product [math](\mathbf{u}\times\mathbf{v})\cdot\mathbf{w}[/math] is called the [i]triple scalar product[/i] of [math]\mathbf{u}[/math], [math]\mathbf{v}[/math], and [math]\mathbf{w}[/math] (in that order).[br]The absolute value of this product is the volume of the parallelepiped (a parallelogram-sided box) determined by [math]\mathbf{u}[/math], [math]\mathbf{v}[/math], and [math]\mathbf{w}[/math]. [br][br]Use this interactive figure to explore how the triple scalar product is the volume of a parallelepiped.

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]