a unit vector normal to the surface ze=3 at (1, 1, 3). Also find the standard form of the equation of the tangent plane at t e that there are two expressions for the unit normal that differ by a minus sign. To fix a unique answer we give the coefficient of the mponent. ilarly, the equation of the tangent plane ax +by+cz+d=0 is only unique up to a constant multiple. In order to clarify your am constant d so that there is a unique solution. it normal: N i+

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find a unit vector normal to the surface ze = 3 at (1, 1, 3). Also find the standard form of the equation of the tangent plane at the given
point.
Note that there are two expressions for the unit normal that differ by a minus sign. To fix a unique answer we give the coefficient of the k
component.
Similarly, the equation of the tangent plane ax+by+cz+d=0 is only unique up to a constant multiple. In order to clarify your answer we give
the constant d so that there is a unique solution.
3+√73 k
Unit normal: N=
Tangent Plane:
i+
x+
y+
2-3=0
Transcribed Image Text:Find a unit vector normal to the surface ze = 3 at (1, 1, 3). Also find the standard form of the equation of the tangent plane at the given point. Note that there are two expressions for the unit normal that differ by a minus sign. To fix a unique answer we give the coefficient of the k component. Similarly, the equation of the tangent plane ax+by+cz+d=0 is only unique up to a constant multiple. In order to clarify your answer we give the constant d so that there is a unique solution. 3+√73 k Unit normal: N= Tangent Plane: i+ x+ y+ 2-3=0
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