Let F be the vector field shown in the figure. -3 (a) If C, is the vertical line segment from (-2, -2) to (-2, 2), determine whether F. dr is positive, negative, or zero. O positive O negative O zero (b) If C, is the counterclockwise-oriented circle with radius 3 and center the origin, determine whether F. dr is positive, negative, or zero. O positive O negative O zero

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 34EQ
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Let F be the vector field shown in the figure.
2
(a) If C, is the vertical line segment from (-2, –2) to (-2, 2), determine whether
F. dr is positive, negative, or zero.
O positive
O negative
O zero
(b) If C, is the counterclockwise-oriented circle with radius 3 and center the origin, determine whether
F. dr is positive, negative, or zero.
O positive
O negative
O zero
Transcribed Image Text:Let F be the vector field shown in the figure. 2 (a) If C, is the vertical line segment from (-2, –2) to (-2, 2), determine whether F. dr is positive, negative, or zero. O positive O negative O zero (b) If C, is the counterclockwise-oriented circle with radius 3 and center the origin, determine whether F. dr is positive, negative, or zero. O positive O negative O zero
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