Question

How to find the point of intersection between 3 planes?

I have 3 planes;
x=0
y=0
z=0
i know they intersect at (0,0,0), but how do i prove that mathematically.

Answer 1

In general each plane is given by a linear equation of the form `ax+by+cz=d` so we have three equation in three unknowns, which when solved give us `(x,y,z)` the point of intersection.

Here the equations are so simple that they're there own solution.

Simultaneous equations `x=0, y=0, z=0` has solution `x=0, y=0, z=0,` meaning the intersection of these three planes is `(0,0,0).`