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\(\vec{a}\times\vec{b} = \vec{c} \times\vec{b},\; \vec{a} \times\vec{c} = \vec{b}\times\vec{d}\) show that \((\vec{a} - \vec{d})|| (\vec{b} - \vec{c})\) when  \(\vec{a} \neq \vec{b}\; and\; \vec{b} \neq\vec{c}\)

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\(\vec{a} \times\vec{b} = \vec{c} \times\vec{d}\)→ (1)

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