Find the equations of the normal and osculating planes

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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1. Find the equations of the normal and osculating planes of the curve x = In t, y = 2t, z = t?
at the point (0, 2, 1)
Transcribed Image Text:1. Find the equations of the normal and osculating planes of the curve x = In t, y = 2t, z = t? at the point (0, 2, 1)
Expert Solution
Step 1

Introduction:

The formula for the normal curve is given by,

r'(a,b,c)·(x,y,z)=r'(a,b,c)·r(a,b,c)

The formula for the osculating plane is given by,

r'(t0)×r''(t0)·(x,y,z)=r'(t0)×r''(t0)·r(a,b,c)

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