# Determine a Normal Vector to Surface at the Given Point

Not what you're looking for? Search our solutions OR ask your own Custom question.

Let X: R^2 â†’ 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).

Â© BrainMass Inc. brainmass.com March 6, 2023, 1:26 pm ad1c9bdddfhttps://brainmass.com/math/vector-calculus/determine-normal-vector-surface-point-24546

#### Solution Preview

Please see attached file.

SEND ANSWER AS ATTACHMENT.

PLEASE PROVIDE COMMON SENSE EXPLANATIONS

SHOW ALL STEPS.

Let X: R^2 â†’ R^3 be the parameterized surface ...

#### Solution Summary

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

$2.49