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The Intersection of three non-parallel planes
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The sequence of graphics below illustrates that three non-parallel planes can meet in a point. Each of the planes is illustrated by itself, then the intersection of planes 1 and 3 is shown, followed by the intersection of planes 2 and 3, followed by a graphic showing all three planes together. The three planes meet in pairs in lines, as any three planes would, and in this case, these 3 separate lines all intersect at the common point of intersection.
The final graphic in the sequence illustrates the concurrence of these three lines of intersection, showing the three planes meeting in a single point (i.e. a unique solution).
Plane 1: x + 2y - z==4
Plane 2: x + 4y + z==2
Plane 3: x + y + z== 6
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