Triple Scalar Product Calculator

Visualize and calculate the triple scalar product of three vectors in 3D space. Enter the vector components below to get started!

Vector A

Vector B

Vector C

Result

Formula:

3D Vector Visualization

What is the Triple Scalar Product?

The triple scalar product is an operation defined for three vectors in 3D space, given as vectors a, b, and c, is given by (a ⋅ (b × c)). Geometrically, the absolute value of the triple scalar product represents the volume of the parallelepiped defined by the three vectors. It can be calculated as the determinant of the matrix whose rows (or columns) are the components of the three vectors. This tool helps you calculate this product and visualize the vectors in 3D space.

Useful in physics and engineering to calculate volumes and understand vector relationships.
Helps determine if three vectors are coplanar (if the triple scalar product is zero).
In computer graphics, it can be used for calculations involving 3D models and spatial orientations.