EXAMPLE 2 Normal and tangent vectors Let C be the circle x? + y? = a², where a > 0. (х, у) is a. Show that at each point of C, the radial vector field F (x, y) orthogonal to the line tangent to C'at that point. %3D |r| V? + y² (-у,х) V + y? b. Show that at each point of C, the rotation vector field G(x, y) is paralel to the line tangent to C at that point.

EXAMPLE 2 Normal and tangent vectors Let C be the circle x? + y? = a², where a > 0. (х, у) is a. Show that at each point of C, the radial vector field F (x, y) orthogonal to the line tangent to C'at that point. %3D |r| V? + y² (-у,х) V + y? b. Show that at each point of C, the rotation vector field G(x, y) is paralel to the line tangent to C at that point.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.FOM: Focus On Modeling: Vectors Fields

Problem 19P

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