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Definition 3.46 Let S be a surface in R° represented by F(r, y, 2) = 0. The normal line to S at a point P(ro, Yo 70) is the line through P, having as a set of direction numbers the components of any normal vector to S at %3D Remark 3.47 Let S be a surface in Rº represented by F(z, y, 2) = 0. Then a symmetric equations of the normal line to S at a point P/(7o-Yo, %0) are 2 – 20 7. Find symmetric equations of the normal line to the surface (ans: = 4 =) Exercise 2 41² + y² – 16z = 0 at (2,4,2).

Definition 3.46 Let S be a surface in R° represented by F(r, y, 2) = 0. The normal line to S at a point P(ro, Yo 70) is the line through P, having as a set of direction numbers the components of any normal vector to S at %3D Remark 3.47 Let S be a surface in Rº represented by F(z, y, 2) = 0. Then a symmetric equations of the normal line to S at a point P/(7o-Yo, %0) are 2 – 20 7. Find symmetric equations of the normal line to the surface (ans: = 4 =) Exercise 2 41² + y² – 16z = 0 at (2,4,2).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Definition 3.46 Let S be a surface in Rº represented by F(r, y, 2) = 0. The normal line to S at a point P(ro, Yo 70) is the line through P, having as a set of direction numbers the components of any normal vector to S at Remark 3.47 Let S be a surface in Rº represented by F(z, y, 2) = 0. Then a symmetric equations of the normal line to S at a point P/(7o-Yo, %0) are % – 20 Find symmetric equations of the normal line to the surface (ans: = 4 =) Exercise 2 41² + y² – 16z = 0 at (2,4,2).
Transcribed Image Text:Definition 3.46 Let S be a surface in Rº represented by F(r, y, 2) = 0. The normal line to S at a point P(ro, Yo 70) is the line through P, having as a set of direction numbers the components of any normal vector to S at Remark 3.47 Let S be a surface in Rº represented by F(z, y, 2) = 0. Then a symmetric equations of the normal line to S at a point P/(7o-Yo, %0) are % – 20 Find symmetric equations of the normal line to the surface (ans: = 4 =) Exercise 2 41² + y² – 16z = 0 at (2,4,2).
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