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Math Help - Scalar Product

  1. #1
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    Scalar Product

    For any two vectors u = (u1,u2), v = (v1,v2) ∈ ℝ^2

    <u,v> = 2u1v1 + v1u2

    Is this a scalar product of ℝ^2?


    I don't understand how to prove or disprove this using the properties?
    Can someone help?
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  2. #2
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    Scalar product is simply the components of the two vectors multiplied:
    u1v1 + u2v2 and will produce a number.

    This page gives a nice overview:
    Dot product - Wikipedia, the free encyclopedia
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