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Math Help - Find the tangent line in R^3

  1. #1
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    Find the tangent line in R^3

    Hi,
    I haven't taken linear algebra in a long time and I forget a lot of this vector algebra from it, so if you could help me out with this problem:

    Write the equation of the plane that contains the point P(1,0.5,0.5) and the tangent line to the curve g(t)=(t+1,t^2+1,t^3+1 at the point (0,2,0).

    Thanks a lot,
    Aaron
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    Can you work out the equation of the tangent line at that point? (Hint : find the tangent vector v; the equation of the tangent line is then (0,2,0)+sv where s is a parameter taking real values.)

    Once you've got that, take any two distinct points on the line; the vectors going from those points to (1,0.5,0.5) will span the plane you are looking for.
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  3. #3
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    got it thanks a lot
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  4. #4
    MHF Contributor Bruno J.'s Avatar
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    You are most welcome my friend. Good luck!
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