Let
A(1,2,3),B(2,3,3),C(1,3,4)and
D(2,4,4)be points in
R^(3). Find the correct statement. (a) The quadrilateral
ABDCis a parallelogram. (b) The points
A,B,Cand
Dare not coplanar. (c) The quadrilateral
ABCDis a rectangle. (d) The points
A,B,Cand
Dare collinear. Consider the circle
C_(1):x^(2)+y^(2)+z^(2)-100=x+2z-1=0and the circle
C_(2):x^(2)+y^(2)+z^(2)-100=x+2z-2=0. Find the correct statement. (a)
C_(1)and
C_(2)have the same centers and the same radi. (b)
C_(1)and
C_(2)have the same centers different radi. (c)
C_(1)and
C_(2)have different centers and the same radi. (d)
(/)/(1)
(/)/()diffocent radi.