\[\left| \,\begin{matrix} 1 & a & b\\ -a & 1 & c\\ -b & -c & 1\\ \end{matrix}\, \right|=\] [MP PET 1991]

\[1-{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\]

\[1+{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\]

\[1+{{a}^{2}}+{{b}^{2}}-{{c}^{2}}\]

\[1+{{a}^{2}}-{{b}^{2}}+{{c}^{2}}\]

\[\left| \,\begin{matrix} 1 & a & b\\ -a & 1 & c\\ -b & -c & 1\\

1.	\[\left\| \,\begin{matrix} 1 & a & b\\ -a & 1 & c\\ -b & -c & 1\\ \end{matrix}\, \right\|=\] [MP PET 1991]
A.	\[1+{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\]
B.	\[1-{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\]
C.	\[1+{{a}^{2}}+{{b}^{2}}-{{c}^{2}}\]
D.	\[1+{{a}^{2}}-{{b}^{2}}+{{c}^{2}}\]
Answer» B. \[1-{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\]

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\[\left| \,\begin{matrix} 1 & a & b\\ -a & 1 & c\\ -b & -c & 1\\ \end{matrix}\, \right|=\] [MP PET 1991]

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