document.write( "Question 566766: The textbook says:
\n" ); document.write( "In the drawing, P, which is a vertex of the rectangular prism, has coordinates (2,3,4) on the coordinate plane. Point Q, which is also a vertex, is located at the origin.Find the remaining six coordinates of the rectangular prism. \n" ); document.write( "

Algebra.Com's Answer #366335 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "I don't have your textbook, so I don't have your drawing. Use your head for something besides a hat rack next time you post a question about a drawing that we can't possibly see. Remember, this is Algebra.com -- it is not the Psychic Hot Line.\r
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\n" ); document.write( "\n" ); document.write( "Be that as it may, the only way this will work is if point P is one endpoint of a long diagonal of the prism and point Q is the other end point and the prism is arranged so that the three edges of the prism that are orthogonal at point Q are each coincident with one of the three coordinate axes.\r
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\n" ); document.write( "\n" ); document.write( "The next thing to realize is that a point with non-zero coordinates specified by an ordered triple is NOT in the coordinate PLANE. Planes are 2 dimensional and this is three-space. You are not in Kansas anymore, Toto.\r
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\n" ); document.write( "\n" ); document.write( "Presuming that the

(horizontal) and

(vertical) axes are in the plane of your paper and the

axis extends out from or into the paper, then the described prism must have one surface in the

plane, one in the

plane, and the third in the

plane.\r
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\n" ); document.write( "\n" ); document.write( "Any point that is in the

plane will have a

coordinate of zero. Any point in the

plane will have a

coordinate of zero. Any point in the

plane will have an

coordinate of zero. If a point is actually on the

axis, the

and

coordinates will both be zero...and the pattern continues. All coplanar points in a plane parallel to the

axis will have equal

coordinates...and so on.\r
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\n" ); document.write( "\n" ); document.write( "That is sufficient information to derive all eight ordered triples representing the vertices of the described rectangular prism.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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