1. Which of the following is true about 2 equal vectors u and v in R? I. u and v have the same initial point and same length. II. u and v have the same terminal point and same length. III. u and v have the same length and direction. A. I only B. II only C. III only D. Both I & II E. None of these
1. Which of the following is true about 2 equal vectors u and v in R? I. u and v have the same initial point and same length. II. u and v have the same terminal point and same length. III. u and v have the same length and direction. A. I only B. II only C. III only D. Both I & II E. None of these
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![1. Which of the following is true about 2 equal vectors u and v in R?
I. u and v have the same initial point and same length.
II. u and v have the same terminal point and same length.
III. u and v have the same length and direction.
A. I only B. II only C. III only D. Both I & II
E. None of these
2. If u = cos(kx) cosh(2y) is harmonic, which of these can be the value of k?
%3D
В. -2
C. +2
E. None of these
A. 2
D. +4
3. Which of these is true about the function f(z) =?
22+1
A. It is nowhere analytic.
B. It is analytic everywhere except at z = i.
C. It is analytic everywhere except at z = -i.
D. It is analytic everywhere except at z = ti.
E. It is analytic everywhere except at z = 0.
4. Which of these is the resultant of the vectors (-11,12,-21) and
(11,12, 21)?
A. 24i
В. 24)
C. 24k
D. 0
E. None of these
5. The region described by z - 1+ il s 1 is
A. A circle in the first quadrant.
B. A disc in the second quadrant.
C. A circle in the third quadrant.
D. A disc in the fourth quadrant.
E. An annulus.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa94027f3-a90c-457c-aba7-6fa40885a195%2F5e9825b6-b132-49b8-9630-4a5d23ca2d1e%2F4d8k7id_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Which of the following is true about 2 equal vectors u and v in R?
I. u and v have the same initial point and same length.
II. u and v have the same terminal point and same length.
III. u and v have the same length and direction.
A. I only B. II only C. III only D. Both I & II
E. None of these
2. If u = cos(kx) cosh(2y) is harmonic, which of these can be the value of k?
%3D
В. -2
C. +2
E. None of these
A. 2
D. +4
3. Which of these is true about the function f(z) =?
22+1
A. It is nowhere analytic.
B. It is analytic everywhere except at z = i.
C. It is analytic everywhere except at z = -i.
D. It is analytic everywhere except at z = ti.
E. It is analytic everywhere except at z = 0.
4. Which of these is the resultant of the vectors (-11,12,-21) and
(11,12, 21)?
A. 24i
В. 24)
C. 24k
D. 0
E. None of these
5. The region described by z - 1+ il s 1 is
A. A circle in the first quadrant.
B. A disc in the second quadrant.
C. A circle in the third quadrant.
D. A disc in the fourth quadrant.
E. An annulus.
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