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There are three points (a,x) ,(b,y) and ...

There are three points (a,x) ,(b,y) and (c,z) such that the straight lines joining any two of them ar not equally inclined to the coordinate axes where a,b,c,x,y,z `in R` .
If `|{:(x+a,y+b,z+c),(y+b,z+c,x+a),(z+c,x+a,y+b):}|=0 and a+c =-b " ""then" " "x,-y/2`,z are in

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