Find B and t for the space curve r(t) = (8 sin t) i + (8 cos t) J T T = 4 4 (cost) + (-sin 1) 1+ (3) K со i+ j+ k 5 5 N = ( sin t)i + (− cos t) j The binormal vector is B = 3 5 cost i+ 3 .. 4 ¹ + (-1/ 5 sint j+ k.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find B and for the space curve r(t) = (8 sin t) i + (8 cos t)j + (6t) k.
T =
4
5
COS
4
5
The binormal vector is B =
N = ( sin t) i + (-cost) j
-
sin tj+
3
5
cost i+
The torsion is t =
(Type an integer or a simplified fraction.)
3
k
3
5
sint j+
4
5
k.
Transcribed Image Text:Find B and for the space curve r(t) = (8 sin t) i + (8 cos t)j + (6t) k. T = 4 5 COS 4 5 The binormal vector is B = N = ( sin t) i + (-cost) j - sin tj+ 3 5 cost i+ The torsion is t = (Type an integer or a simplified fraction.) 3 k 3 5 sint j+ 4 5 k.
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