Find a unit vector n that is normal to the surface 4z? – 2x* – y = 18 at P = (1,2,3) that points in the direction of the xy- plane (in other words, if you travel in the direction of n, you will eventually cross the xy-plane).

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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Find a unit vector n that is normal to the surface 4z? – 2x* – y* = 18 at P = (1,2, 3) that points in the direction of the xy-
plane (in other words, if you travel in the direction of n, you will eventually cross the xy-plane).
(Use symbolic notation and fractions where needed.)
n =
Transcribed Image Text:Find a unit vector n that is normal to the surface 4z? – 2x* – y* = 18 at P = (1,2, 3) that points in the direction of the xy- plane (in other words, if you travel in the direction of n, you will eventually cross the xy-plane). (Use symbolic notation and fractions where needed.) n =
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