Consider surface S of the cone S : z = 2/a2+ y² at the point P(1, , V5). (a) Determine the vector normal to S at P; (b) Determine the equation of the tangent plane and normal line to S at P. Normal line can be represented in parametric form.

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
Section9.6: Equations Of Lines And Planes
Problem 2E
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Consider surface S of the cone S: z= 2Va2 + y at the point P(1,, V5).
(a) Determine the vector normal to S at P;
(b) Determine the equation of the tangent plane and normal line to S at P. Normal line
can be represented in parametric form.
Transcribed Image Text:Consider surface S of the cone S: z= 2Va2 + y at the point P(1,, V5). (a) Determine the vector normal to S at P; (b) Determine the equation of the tangent plane and normal line to S at P. Normal line can be represented in parametric form.
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