Triple scalar product question

[DespicableMe]

Homework Statement

Is it possible to use the triple scalar product to solve anything greater than a 3x3 matrix?

Homework Equations

Ax + By + Cz + D = 0

The Attempt at a Solution

In terms of planes, the triple scalar product can be used to determine if the NORMALS of the planes intersect at a point or on a line or in pairs.
But it doesn't necessarily give you the solution, does it?

So is it possible to use the triple scalar product to solve anything greater than a 3x3 matrix?

 

[vela]

It's not clear what you mean. You can solve a system of equations; you can solve an equation for a variable; you can solve a problem; etc. You don't solve a matrix. That's like saying you solve a number.