document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196069>Question 1196069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular box is named ABCDHEFG. Notice that A= (0,0,0) and that B, D, and E are on the coordinate axes. Given that G= (6,3,2), find:\r<BR>\n" );
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document.write( "(a) Coordinates of the six other vertices<BR>\n" );
document.write( "(b) The lengths AH, AC, AF, and AG </SPAN>\n" );
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document.write( "The description is not sufficient to get a single set of answers to the questions that are asked; the specific answers will be different depending on which of the three coordinate axes the points B, D, and E are located.<br><BR>\n" );
document.write( "With A(0,0,0) and G(6,3,2), the other six vertices, in SOME order, are<BR>\n" );
document.write( "(6,0,0), (0,3,0), (0,0,2)<BR>\n" );
document.write( "(6,3,0), (6,0,2), (0,3,2)<br><BR>\n" );
document.write( "AH, AC, and AF are diagonals of faces of the box; the lengths will again depend on the locations of B, D, and E.<br><BR>\n" );
document.write( "AG is the space diagonal; its length is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%5E2%2B3%5E2%2B2%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%286%5E2%2B3%5E2%2B2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
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