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    Determine a Normal Vector to Surface at the Given Point

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    Let X: R^2 → R^3 be the parameterized surface give by

    X(s,t) = (s^2 - t^2 , s + t, s^2 + 3t)

    A) Determine a normal vector to this surface at the point

    (3, 1, 1) = X(2, -1)

    b) Find an equation for the plane tangent to this surface at the point (3, 1, 1).

    © BrainMass Inc. brainmass.com February 24, 2021, 2:30 pm ad1c9bdddf
    https://brainmass.com/math/vector-calculus/determine-normal-vector-surface-point-24546

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    The solution determines a normal vector to surface at the given point.

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