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Math Help - Spatial vectors

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    Spatial vectors

    Let \vec{a} and \vec{a} be 3d vectors.

    Explain in words with the aid of a diagram why:
    ( \vec{a}x \vec{b}). \vec{b} = 0.

    Explain with the aid of a diagram, that if
    \vec{b}x( \vec{a}. \vec{b}) = \vec{a},
    what is \vec{a}. \vec{b}?


    should be using right hand rules etc
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    Re: Spatial vectors

    Quote Originally Posted by whyyie View Post
    Explain in words with the aid of a diagram why:
    ( \vec{a}x \vec{b}). \vec{b} = 0.

    Explain with the aid of a diagram, that if
    \vec{b}x( \vec{a}. \vec{b}) = \vec{a},
    what is \vec{a}. \vec{b}?
    These should be easy to answer if you set up a diagram.

    What do we know, geometrically, about the cross product of two vectors? And when will the dot product of two vectors be zero?
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