det( (c-e , d-f , (c-e)a+(d-f)b ), ( a-e , b-f , (a-e)c+(b-f)d ), (a-c, b-d, (a-c)e+(b-d)f ) )det( (c-e , d-f , (c-e)a+(d-f)b ), ( a-e , b-f , (a-e)c+(b-f)d ), (a-c, b-d, (a-c)e+(b-d)f ) )

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