(0,0,0) (1,1,1) C2 C.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 15CM
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Force F = xyi +yzj +xzk

Find the work done by force F = xyi + yzj + xzk over the given paths in the direction
of increasing t.
a. C1: r(t) = ti + tj + tk,
0 <t< 1
(0,0,0)
(1,1,1)
0 <ts 1
b. C2: r(t) = ti + t²j + t*k,
The path C3 U C4 consisting of the line segment from (0, 0, 0)
с.
to (1, 1, 0) followed by the segment from (1, 1, 0) to (1, 1, 1)
CA
(1,1,0)
Transcribed Image Text:Find the work done by force F = xyi + yzj + xzk over the given paths in the direction of increasing t. a. C1: r(t) = ti + tj + tk, 0 <t< 1 (0,0,0) (1,1,1) 0 <ts 1 b. C2: r(t) = ti + t²j + t*k, The path C3 U C4 consisting of the line segment from (0, 0, 0) с. to (1, 1, 0) followed by the segment from (1, 1, 0) to (1, 1, 1) CA (1,1,0)
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