Prove that the points A, B and C with position vectors $\overrightarrow{a}, \overrightarrow{b} and \overrightarrow{c}$ respectively are collinear if and only if $\overrightarrow{a} \times \overrightarrow{b} + \overrightarrow{b} \times \overrightarrow{c} + \overrightarrow{c} \times \overrightarrow{a} = 0$

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