If a, b, c are positive and unequal, show that value of the determinant `Delta=|a b c b c a c a b|`is negative.

Explanation

To show that the determinant \( \Delta = \begin{vmatrix} a & b & c \\ b & c & a \\ c & a & b \end{vmatrix} \) is negative when \( a, b, c \) are positive and unequal, we will follow these steps:

### Step 1: Rewrite the Determinant
We start with the determinant:
\[ \Delta = \begin{vmatrix} a & b & c \\ b & c & a \\ c & a & b \end{vmatrix} \]

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