If a, b, c are distinct positive real numbers then the value of abcbcacab is

Let a=1, b=2, c=3, then123231312=5-2+3(-7) =3-21 =-18<0

If a, b, c are distinct positive real numbers then the value of abcbcacab is

Let a=1, b=2, c=3, then123231312=5-2+3(-7) =3-21 =-18<0

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If a, b, c are distinct positive real numbers then the value of $|\begin{matrix} a & b & c \\ b & c & a \\ c & a & b \end{matrix}| is$

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$< 0$

$\geq 0$

$> 0$

answer is A.

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Let $a = 1, b = 2, c = 3,$ then

$\begin{array}{rcl} |\begin{matrix} 1 & 2 & 3 \\ 2 & 3 & 1 \\ 3 & 1 & 2 \end{matrix}| & = & 5 - 2 + 3 (- 7) \\ = & 3 - 21 \\ = & - 18 < 0 \end{array}$

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If a, b, c are distinct positive real numbers then the value of abcbcacab is

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If a, b, c are distinct positive real numbers then the value of $|\begin{matrix} a & b & c \\ b & c & a \\ c & a & b \end{matrix}| is$