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.

1 Answer
Jun 21, 2018

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).