2 1-21 1 (a) If C, is the vertical line segment from (-1, -1) to (-1, 1), determine whether F. dr is positive, negative, or zero. positive O negative 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. positive negative zero

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 49E
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Let F be the vector field shown in the figure below.
y
2-
1-21 1
-2-
(a) If C, is the vertical line segment from (-1, -1) to (-1, 1), determine whether
F. dr is positive, negative, or zero.
positive
negative
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.
positive
O negative
O zero
Transcribed Image Text:Let F be the vector field shown in the figure below. y 2- 1-21 1 -2- (a) If C, is the vertical line segment from (-1, -1) to (-1, 1), determine whether F. dr is positive, negative, or zero. positive negative 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. positive O negative O zero
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