For the space curve below, T = cost - sint √2 r(t) = (e cost)i + (e¹ sint) j+ 4k Find B. B= (0)i + (0)j + (1) k (Simplify your answers.) Find T. T= (Simplify your answer.) i+ sint cost √2 İ, N= cost- sint √2 i+ cost - sint √2 1 |j, and K = e² √2 Find the binormal vector B and torsion for this space curve. C

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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For the space curve below, T =
cost - sint
√2
r(t) =(e cos t)i + (e¹ sint) j+ 4k
Find B.
B= (0)i + (0)j + (1) k
(Simplify your answers.)
Find T.
T= 0 (Simplify your answer.)
| +
sint
cost
√2
İ, N=
cost- sin t
i+
√2
cost- sint
√√2
1
|j, and K =
e¹ √2
Find the binormal vector B and torsion for this space curve.
C
Transcribed Image Text:For the space curve below, T = cost - sint √2 r(t) =(e cos t)i + (e¹ sint) j+ 4k Find B. B= (0)i + (0)j + (1) k (Simplify your answers.) Find T. T= 0 (Simplify your answer.) | + sint cost √2 İ, N= cost- sin t i+ √2 cost- sint √√2 1 |j, and K = e¹ √2 Find the binormal vector B and torsion for this space curve. C
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