If \({{\rm{a}}^2}{\rm{\;}} + {\rm{\;}}{{\rm{b}}^2}{\rm{\;}} + {\rm{\;}}{{\rm{c}}^2}{\rm{\;}} = {\rm{\;}}1\), then \({\rm{ab\;}} + {\rm{\;bc\;}} + {\rm{\;ac}}\) lies in the interval

\(\left[ { - 1,\frac{1}{2}} \right]\)

\(\left[ {1,\frac{2}{3}} \right]\)

\(\left[ { - \frac{1}{2},{\rm{\;}}1} \right]\)

\(\left[ {2,{\rm{\;}} - 4} \right]\)

If \({{\rm{a}}^2}{\rm{\;}} + {\rm{\;}}{{\rm{b}}^2}{\rm{\;}} + {\rm{\;}

1.	If \({{\rm{a}}^2}{\rm{\;}} + {\rm{\;}}{{\rm{b}}^2}{\rm{\;}} + {\rm{\;}}{{\rm{c}}^2}{\rm{\;}} = {\rm{\;}}1\), then \({\rm{ab\;}} + {\rm{\;bc\;}} + {\rm{\;ac}}\) lies in the interval
A.	\(\left[ {1,\frac{2}{3}} \right]\)
B.	\(\left[ { - \frac{1}{2},{\rm{\;}}1} \right]\)
C.	\(\left[ { - 1,\frac{1}{2}} \right]\)
D.	\(\left[ {2,{\rm{\;}} - 4} \right]\)
Answer» C. \(\left[ { - 1,\frac{1}{2}} \right]\)

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If \({{\rm{a}}^2}{\rm{\;}} + {\rm{\;}}{{\rm{b}}^2}{\rm{\;}} + {\rm{\;}}{{\rm{c}}^2}{\rm{\;}} = {\rm{\;}}1\), then \({\rm{ab\;}} + {\rm{\;bc\;}} + {\rm{\;ac}}\) lies in the interval

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