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Math Help - basic line integral question

  1. #1
    Newbie
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    basic line integral question

    hello, i'm new here and i have a basic question which some of you find silly lol.
    i'm studying in thomas calculus section 16.1 :"line integrals"

    its a screenshot from the e-book of the example that i didnt understand: (click it)


    my question: how did we find those red circled parameters???? if anyone didnt understand my question plz tell me.
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  2. #2
    MHF Contributor
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    Hi

    The parametrization of the segment line limited by O(0,0,0) and I(1,1,0) is r(t) = ti + tj, for t between 0 and 1

    Take any point M (x,y,z) inside the segment line. OM = r is parallel to OI(1,1,0). This means that exists t such as OM = t OI.
    On x axis this gives : x = t
    On y axis : y = t
    On z axis : z = 0

    Therefore M(t,t,0) or OM = ti + tj

    I hope my explanation will be of help for you.
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  3. #3
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    can you tell me what happened in C2 plz?
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