# 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).

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

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

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