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short maths question

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I am currently reading "Mathematics for Gamedevelopers" Chapter 2. There is a vector equation on page 36 's = (ab+be)+ed+fg-fa'. 2 lines later 's = (ae+ed)+(af+fg)' which is fine with me. But then the last line is 's = af + ag'. Should this not mean 's = ad + ag'? Or is my thinking wrong? thanks Quak

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