Compute the normal vector at (3, 3) and use it to estimate the area of the small patch of the surface+(u, v) = (u² – v², u + v, u – v) defined by3< u< 3.1,3

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Answered: Compute the normal vector at (3, 3) and…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.2: Inner Product Spaces

Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...

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Similar questions

Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that among all the scalar multiples cv of the vector v, the projection of u onto v is the closest to u that is, show that d(u,projvu) is a minimum.
Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.
Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector u=(1,1,1,1) in the form u=v+w, where v is in V and w is orthogonal to every vector in V.
Compute the angle between the two planes, defined as the angle θ (between 0 and π) between their normal vectors(Figure below). Planes with normals n1 =〈1, 0, 1〉, n2 =〈−1, 1, 1〉

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Compute the normal vector at (3, 3) and use it to estimate the area of the small patch of the surface +(u, v) = (u² – v², u + v, u – v) defined by 3< u< 3.1, 3