Given the skew-symmetric 3×33 \times 33×3 matrix A=(0ab−a0c−b−c0)A = \begin{pmatrix} 0 & a & b \\ -a & 0 & c \\ -b & -c & 0 \end{pmatrix}A=0−a−ba0−cbc0, what is det(A)\det(A)det(A)?
000
abcabcabc
a2+b2+c2a^2+b^2+c^2a2+b2+c2
−abc-abc−abc