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Math Help - Vector geometry: Work done

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    Vector geometry: Work done

    A constant force moves an object along a straight line from point (7, -4, 6) to point (-6, -2, 8). Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons.
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by wvlilgurl View Post
    A constant force moves an object along a straight line from point (7, -4, 6) to point (-6, -2, 8). Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons.
    Let \bold{D} be the vector from (7,-4,6) to (-6,-2,8), that is, \bold{D} = \left< -13, 2, 2 \right>

    Now the work is given by

    W = \bold{F} \cdot \bold{D}

    of course, \cdot here means dot product
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