If a, b, c, are distinct real numbers and
$$\begin{vmatrix}a &a^2 & a^3 - 1 \\b & b^2 & b^3 - 1\\c & c^2 & c^3 - 1\end{vmatrix} = 0$$, then

A

$$a + b + c = 0$$

B

$$a + b + c = 1$$

C

$$abc = 1$$

D

$$ab + bc + ca = 0$$