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Math Help - [SOLVED] Equation of the tangent plane to a parametrized surface

  1. #1
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    [SOLVED] Equation of the tangent plane to a parametrized surface

    I'm pretty sure I'm making a small mistake on these problems. I've done several they way I'm sure it's done, and rechecked them and they always come back as incorrect.
    Here's an example problem:

    r(u,v) = (-3u, 2u^2-4v, 5v^2) at the point (9, 6, 45)

    From this I get that:
    (u,v) = (-3,3)
    r_u = (-3,-12,0)
    r_v = (0, -4, 30)

    I'm getting the answer:
    -360x - 90y + 12z + 3240 = 0

    How far off am I? I can post all my steps if needed.
    Thanks.
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  2. #2
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    Nevermind. I was doing the cross product wrong. I was forgetting to switch the signs for it. Arg, so much frustration over that little issue.
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