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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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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
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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