2 1. Given a space curve a:1= [0,2m] → R³, such that a ()= a(), then a(t) is... Curve A. a closed D. not simple B. simple C. regular The
2 1. Given a space curve a:1= [0,2m] → R³, such that a ()= a(), then a(t) is... Curve A. a closed D. not simple B. simple C. regular The
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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Solve question 1
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1. Given a space curve a: 1 = [0,2m] → R³, such that a )= a), then a(t) is..
A. a closed
B. simple
C. regular
2. The torsion of a plane curve equals........
A. 1
B.0
C. not a constant
3. Given a metric matrix giy, then the inverse element g¹¹equals ..........
A. 22
D. - 921
0
B. 2.12
C. 911
g
9
4. The vector S = N₂ x T is called........ of a curve a lies on a surface M.
A. Principal normal B. intrinsic normal C. binormal
jny
D. principal tangent
5. The second fundamental form is calculated using.........
B. (X₁, Xij)
A. (X₁, X₂)
C.(N, Xij)
D. (T,Xi)
6. The pla
curve
D. not simple
D. -1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7f085de-0969-4054-ac93-86cadb4f3c42%2F02644fff-027b-496c-81d4-937f22e53b95%2F177f4gh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:answer
1. Given a space curve a: 1 = [0,2m] → R³, such that a )= a), then a(t) is..
A. a closed
B. simple
C. regular
2. The torsion of a plane curve equals........
A. 1
B.0
C. not a constant
3. Given a metric matrix giy, then the inverse element g¹¹equals ..........
A. 22
D. - 921
0
B. 2.12
C. 911
g
9
4. The vector S = N₂ x T is called........ of a curve a lies on a surface M.
A. Principal normal B. intrinsic normal C. binormal
jny
D. principal tangent
5. The second fundamental form is calculated using.........
B. (X₁, Xij)
A. (X₁, X₂)
C.(N, Xij)
D. (T,Xi)
6. The pla
curve
D. not simple
D. -1
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