Find a unit vector n that is normal to the surface 4z² - x4 - 2y4 = 46 at P = (2, 1, 4) 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=
Find a unit vector n that is normal to the surface 4z² - x4 - 2y4 = 46 at P = (2, 1, 4) 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=
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
Related questions
Question
![Find a unit vector n that is normal to the surface 4z² - x4 - 2y4 = 46 at P = (2, 1, 4) 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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faccc7427-2c55-44a5-b68e-19581b7568be%2Fdf463091-e44d-40a8-9770-fb1d63dc7cbe%2Fx7t30rc_processed.png&w=3840&q=75)
Transcribed Image Text:Find a unit vector n that is normal to the surface 4z² - x4 - 2y4 = 46 at P = (2, 1, 4) 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 =
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 21 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage