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Question

If A,B.C are (3,3,3),(0,6,3) and (1,7,7) respectively. find D(x,y,z) such that ABCD is a square

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Solution

LetmidpointofdiagonalsbeM.thencoordinateofMwillbeauniquevalueusingAandC,coordinatesofmidpointsofdiagonalsare((3+12),(3+72),(3+72))=M(2,5,5)nowusingBandD,coordinatesofmidpointsshouldbeM((x+02),(y+62),(z+32))bycomparing,weget(x2)=2orx=4(y+62)=5ory=106=4(z+32)=5orz=103=7M(4,4,7)


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