Let P be the point (2, -1, 2) and Ø,: x² + y² – z² = 10. (i) Find the unit normal vector to the surface Ø, at point P. (ii) Find the directional derivative of Ø1 at point P in the direction of A = î+j-k.

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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(c)
Let P be the point (2, -1, 2) and Ø4: x² +y² – z² = 10.
(i)
Find the unit normal vector to the surface Ø, at point P.
(ii)
Find the directional derivative of Ø, at point P in the direction of A = î+j-k.
Transcribed Image Text:(c) Let P be the point (2, -1, 2) and Ø4: x² +y² – z² = 10. (i) Find the unit normal vector to the surface Ø, at point P. (ii) Find the directional derivative of Ø, at point P in the direction of A = î+j-k.
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