Find B and t for the space curve r(t) = (5 sin t) i + (5 cos t) j+(12t) k. 12 T = i+ sin 13 CoS j+ k 13 13 N = (- sin t) i+(-cos t) j The binormal vector is B= Oi+ (Oj+ k. The torsion is t = (Type an integer or a simplified fraction.)
Find B and t for the space curve r(t) = (5 sin t) i + (5 cos t) j+(12t) k. 12 T = i+ sin 13 CoS j+ k 13 13 N = (- sin t) i+(-cos t) j The binormal vector is B= Oi+ (Oj+ k. The torsion is t = (Type an integer or a simplified fraction.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Find B and t for the space curve r(t) = (5 sin t) i + (5 cos t) j+(12t) k.
5
12
T =
cos t i+
13
sin t j+
k
13
13
N = (- sin t) i + (- cos t) j
The binormal vector is B = ( |) i + ( )i+ ( D k.
The torsion iST=
(Type an integer or a simplified fraction)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F931fee7d-8ca0-447d-9161-300cdcf3487f%2Fd37a07b4-e44d-45c2-88f1-4a69867f6358%2Fp72pcz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find B and t for the space curve r(t) = (5 sin t) i + (5 cos t) j+(12t) k.
5
12
T =
cos t i+
13
sin t j+
k
13
13
N = (- sin t) i + (- cos t) j
The binormal vector is B = ( |) i + ( )i+ ( D k.
The torsion iST=
(Type an integer or a simplified fraction)
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