The value of -a2 ab ac ab -b2 bc ac bc -c2 is

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The value of $∣ ∣ ∣ ∣ ∣ \begin{matrix} - a^{2} & a b & a c a b & - b^{2} & b c a c & b c & - c^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣$ is

a perfect cube

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zero

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a perfect square

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negative

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∣ ∣ ∣ ∣ ∣ \begin{matrix} {- a}^{2} a b a c \end{matrix} \begin{matrix} a b {- b}^{2} b c \end{matrix} \begin{matrix} a c b c {- c}^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣ = λ a^{2} b^{2} c^{2}

λ

∣ ∣ ∣ ∣ ∣ \begin{matrix} - a^{2} & a b & a c a b & - b^{2} & b c a c & b c & - c^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣ = 4 a^{2} b^{2} c^{2}

∣ ∣ ∣ ∣ ∣ \begin{matrix} - a^{2} & a b & a c a b & - b^{2} & b c a c & b c & - c^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣

∣ ∣ ∣ ∣ ∣ \begin{matrix} - a^{2} & a b & a c a b & - b^{2} & b c a c & b c & - c^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣ + ∣ ∣ ∣ ∣ ∣ \begin{matrix} a^{2} & - b^{2} & - c^{2} - a^{2} & b^{2} & - c^{2} - a^{2} & - b^{2} & c^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣ =

∣ ∣ ∣ ∣ ∣ \begin{matrix} - a^{2} & a b & a c a b & - b^{2} & b c a c & b c & - c^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣ = K a^{2} b^{2} c^{2}

K =

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