The vector field F is given by F = (3x²yz+y³z + xe¯*) i +(3xy²z+x³z + ye*)} + (x³y+y³x + xy² z² ) k . Calculate by using Stoke's theorem the value of the line integral I = S₁ F · dī, where L is the closed contour OD Si S₂ L₂

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 7CM
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What is the I?
The vector field F is given by
Calculate by using Stoke's theorem the
value of the line integral I
S, F.di,
where L is the closed contour
OABCDEO defined by the successive
vertices (0, 0, 0), (1, 0, 0), (1, 0, 1),
(1, 1, 1), (1, 1, 0), (0, 1, 0), (0, 0, 0).
.
F = (3x²yz+y³z + xe¯*) i
+(3xy²z+x³z + ye*)
+ (x³y+y³x + xy² z² ) k
I=
S₁
{
T
.S₂
L₂
Transcribed Image Text:The vector field F is given by Calculate by using Stoke's theorem the value of the line integral I S, F.di, where L is the closed contour OABCDEO defined by the successive vertices (0, 0, 0), (1, 0, 0), (1, 0, 1), (1, 1, 1), (1, 1, 0), (0, 1, 0), (0, 0, 0). . F = (3x²yz+y³z + xe¯*) i +(3xy²z+x³z + ye*) + (x³y+y³x + xy² z² ) k I= S₁ { T .S₂ L₂
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