document.write( "Question 1067844: show that points (1,2,3);(-1,-2,-1);(2,3,2) and (4,7,6) are vertices of parallelogram but it is not a rectangle. \n" ); document.write( "
Algebra.Com's Answer #683056 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
\"A%281%2C2%2C3%29\"
\n" ); document.write( "\"B%28-1%2C-2%2C-1%29\"
\n" ); document.write( "\"C%282%2C3%2C2%29\"
\n" ); document.write( "\"D%284%2C7%2C6%29\"
\n" ); document.write( "The vector from \"B\" to \"A\" is
\n" ); document.write( " .
\n" ); document.write( "The vector from \"C\" to \"D\" is the same:
\n" ); document.write( " ,
\n" ); document.write( "So AB and DC area parallel,
\n" ); document.write( "going in the same direction,
\n" ); document.write( "and with the same length,
\n" ); document.write( "That makes ABCD a parallelogram.
\n" ); document.write( "To be a rectangle the diagonals AC and BD should have the same length.
\n" ); document.write( "However, their length squared are different:
\n" ); document.write( " and
\n" ); document.write( "
\n" ); document.write( "
\n" );