x² + y2 + z? = 26, (1, 4, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. z 4 X - 1 y - 4 z - 3 26 26 26 %3D 26 Ox - 1 = y - 4 = z - 3 26 26 O x - 1 y - 4 z - 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20RE
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Question

8

(a) Find an equation of the tangent plane to the surface at the given point.
x2 + y2 + z2 = 26, (1, 4, 3)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
y
1
4
X - 1
4
z - 3
26
26
26
y
%3D
%3D
26
26
26
Ox - 1 = y - 4 = z - 3
x - 1
у — 4
Z - 3
4
eBook
3.
||
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 26, (1, 4, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. y 1 4 X - 1 4 z - 3 26 26 26 y %3D %3D 26 26 26 Ox - 1 = y - 4 = z - 3 x - 1 у — 4 Z - 3 4 eBook 3. ||
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