Please do part b Consider the level surface defined by the equation x² +2y² − 3z² - xyz = 8, find the following:a) Find the normal vector to this surface at the point (3, -2, 3).b) Find the equation of the normal line to this surface at the point (3, -2, 3).c) Find the equation of the tangent plane to this surface at the point (3, -2, 3).

Given problem:- Consider the level surface defined by the equation x2 + 2y2 - 3z2 - xyz = 8 Find:-…

Answered: Consider the level surface defined by…

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 the level surface defined by the equation x² + 2y²-32² - xyz = 8, find the following: a) Find the normal vector to this surface at the point (3, -2, 3). b) Find the equation of the normal line to this surface at the point (3, -2, 3).