The intersection of three planes in three-dimensional space is a point, a line, or empty (no intersection).
To find the intersection of these three planes, we can solve the system of equations formed by the three equations.
To do so, we can use the method of Gaussian elimination or any other method of solving systems of linear equations.
After solving the system of equations, we find that the intersection of the planes is a single point, which can be expressed as (x, y, z) = (-4, 5, -2).
Geometrically, this means that the three planes intersect at a single point (-4, 5, -2) in three-dimensional space.
Give a geometrical interpretation of the intersection of the planes with equations
x + y + z + 3 = 0
2x + 3y - 6z - 1 = 0
4x + 6y -12z + 11 = 0
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