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Cell["\<\
The Intersection of three non-parallel planes
\
\>", "Title",
TextAlignment->Center,
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Cell["\<\
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).
\tPlane 1:\t\tx + 2y - z==4
\tPlane 2:\t\tx + 4y + z==2
\tPlane 3:\t\tx + y + z== 6
\
\>", "Text",
ImageRegion->{{0, 1}, {0, 1}}],
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