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Math Help - parametric equation

  1. #1
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    parametric equation

    show that the graph of r(t) = (f(t) -g(t)) i + (g(t) -h(t))j +(h(t)-f(t))k lies on a plane passing through the origin.

    Thank you very much.
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  2. #2
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    Hello, Jenny1

    Show that the graph of: .r(t) .= .[f(t) - g(t)] i + [g(t) - h(t)]j +[h(t) - f(t)]k
    lies on a plane passing through the origin.

    We have these three parametric equations:

    . . x .= .f(t) - g(t)
    . . y .= .g(t) - h(t)
    . . z .= .h(t) - f(t)

    Add them and we get: .x + y + z.= .0
    . . a plane which passes through the origin.

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