6. Find a vector normal to the surface a2 +y? - z = 0 at the point (3, 4, 25). Find the equations of the tangent plane and normal line to the surface at that point. 7. Find the direction of the line normal to the surface z'y + y?z + z?x +1 3 0 at the point (1, 2,-1). Write the equations of the tangent plane and normal line at this point. %3D

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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only answer number 7
6. Find a vector normal to the surface r? +y? - z = 0 at the point (3, 4, 25). Find the
equations of the tangent plane and normal line to the surface at that point.
7. Find the direction of the line normal to the surface z'y + y?z + z?x +1 =0 at the
point (1, 2,-1). Write the equations of the tangent plane and normal line at this
point.
%3D
Transcribed Image Text:only answer number 7 6. Find a vector normal to the surface r? +y? - z = 0 at the point (3, 4, 25). Find the equations of the tangent plane and normal line to the surface at that point. 7. Find the direction of the line normal to the surface z'y + y?z + z?x +1 =0 at the point (1, 2,-1). Write the equations of the tangent plane and normal line at this point. %3D
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