Subject differential geometry Let X(u,v)=(vcosu,vsinu,u) be the coordinate patch of a surface of M. A) find a normal and tangent vector field of M on patch X B) q=(1,0,1) is the point on this patch?why? C) find the tangent plane of the TpM at the point p=(0,0,0) of M

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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Subject differential geometry

Let X(u,v)=(vcosu,vsinu,u) be the coordinate patch of a surface of M.

A) find a normal and tangent vector field of M on patch X

B) q=(1,0,1) is the point on this patch?why?

C) find the tangent plane of the TpM at the point p=(0,0,0) of M

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