consider the surface xyz=60. Find the unit normal vector to the surface at the point (4,3,5) with positive first coordinate. Find the equation of the tangent plane at the given point. Express your answer in the form ax+by+cz+d=0, normalize so that a=15.

consider the surface xyz=60. Find the unit normal vector to the surface at the point (4,3,5) with positive first coordinate. Find the equation of the tangent plane at the given point. Express your answer in the form ax+by+cz+d=0, normalize so that a=15.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Question

consider the surface xyz=60.
Find the unit normal vector to the surface at the point (4,3,5) with positive first coordinate.
Find the equation of the tangent plane at the given point. Express your answer in the form ax+by+cz+d=0, normalize so that a=15.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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