Let r(t)=cos 2t i +sin 2t j + tk be a vector function. Which of the followings are true for this function? I. Tangent vector is constant at any point. II. Length of tangent vector at any point is constant. III.Tangent vector is (0,2,1) at the point (1,0,0). 4a+b IV. Curvature at a point (a, b, c) is 5c V. Arclength of the curve from a point (a, b, c) to a point (d, e, f) is given by 5dt O a. II, II, IV O b. I, II, V O C. I, II, V O d. I, III, IV
Let r(t)=cos 2t i +sin 2t j + tk be a vector function. Which of the followings are true for this function? I. Tangent vector is constant at any point. II. Length of tangent vector at any point is constant. III.Tangent vector is (0,2,1) at the point (1,0,0). 4a+b IV. Curvature at a point (a, b, c) is 5c V. Arclength of the curve from a point (a, b, c) to a point (d, e, f) is given by 5dt O a. II, II, IV O b. I, II, V O C. I, II, V O d. I, III, IV
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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Transcribed Image Text:QUESTION 1
Let
r(t)=cos 2t i +sin 2t j + tk
be a vector function. Which of the followings are true for this function?
I. Tangent vector is constant at any point.
II. Length of tangent vector at any point is constant.
II. Tangent vector is (0,2,1) at the point (1,0,0).
4а+b
IV. Curvature at a point (a, b, c) is
5c
V. Arclength of the curve from a point (a, b, c) to a point (d, e, f) is given by
5di
a. II, III, IV
b. II, III, V
O C. I, II, V
d. I, III, IV
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