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).

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).

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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