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Math Help - Simplifying Dot product

  1. #1
    Senior Member sakonpure6's Avatar
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    Simplifying Dot product

    Regarding question 9 a) Simplifying Dot product-20140222_194202.jpg why is this the answerSimplifying Dot product-20140222_194235.jpg and not Simplifying Dot product-20140222_194211.jpg
    Also why is a part of the answer in the book: 7 a (Dot) b not 7 |a| |b| like the other expressions in the answer from the book?
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  2. #2
    MHF Contributor ebaines's Avatar
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    Re: Simplifying Dot product

    Looks to me like your answer is the same as the one in the book, with the exception that you have a term of 7\vec a \vec b, by which I assume you mean $7|\vec a| \vec b|$, whereas the book's answer is $7 \vec a \cdot \vec b $. The reason the book has the dot product is that $ \vec a $ and $ \vec b$ are not necessarily orthogonal, the way perhaps other examples in your book may be.
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