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).#