If a + b + c = 4 and ab + bc + ca = 0, then what is the value of the following determinant?\(\left| {\begin{array}{*{20}{c}} {{a}}&{{b}}&{{c}}\\ {{b}}&{{c}}&{{a}}\\ {{c}}&{{a}}&{{b}} \end{array}} \right|\)

If a + b + c = 4 and ab + bc + ca = 0, then what is the value of the f

1.	If a + b + c = 4 and ab + bc + ca = 0, then what is the value of the following determinant?\(\left\| {\begin{array}{*{20}{c}} {{a}}&{{b}}&{{c}}\\ {{b}}&{{c}}&{{a}}\\ {{c}}&{{a}}&{{b}} \end{array}} \right\|\)
A.	32
B.	-64
C.	-128
D.	64
Answer» C. -128

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If a + b + c = 4 and ab + bc + ca = 0, then what is the value of the following determinant?\(\left| {\begin{array}{*{20}{c}} {{a}}&{{b}}&{{c}}\\ {{b}}&{{c}}&{{a}}\\ {{c}}&{{a}}&{{b}} \end{array}} \right|\)

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