2. Complete all parts: (a) Find the equation of the curve of intersection of the surfaces y = r² and 2 = r* (b) What is the name of the resulting curve of intersection? (c) Find the equation for B the unit binormal vector to the curve when t= 1. Hint: Instead of using the usual formula for B note that the unit binormal vector is orthogonal to ř '(t) and F"(t). In fact, an alternate formula for this vector is F'(t) × F"(t) B(t): F'(t) × "(t)|

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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2. Complete all parts:
(a) Find the equation of the curve of intersection of the surfaces y = r² and z =
(b) What is the name of the resulting curve of intersection?
(c) Find the equation for B the unit binormal vector to the curve when t= 1.
Hint: Instead of using the usual formula for B note that the unit binormal vector is orthogonal to ř '(t) and
F"(t). In fact, an alternate formula for this vector is
F'(t) × F"(t)
F'(t) × 7"(t)|
B(t)
Transcribed Image Text:2. Complete all parts: (a) Find the equation of the curve of intersection of the surfaces y = r² and z = (b) What is the name of the resulting curve of intersection? (c) Find the equation for B the unit binormal vector to the curve when t= 1. Hint: Instead of using the usual formula for B note that the unit binormal vector is orthogonal to ř '(t) and F"(t). In fact, an alternate formula for this vector is F'(t) × F"(t) F'(t) × 7"(t)| B(t)
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