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.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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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)
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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