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Let F = 3x²i+2yzj+ y²k, let C, be the path made up from the 3 line segments from the points (0,0,0) to (1,0,0), (1,0,0) to (1,1,0) and (1,1,0) to (1,1,1) and let C, be the line from (0,0,0) to (1,1,1). (1) Compute the line integrals fF.dr and fF.dr.

Let F = 3x²i+2yzj+ y²k, let C, be the path made up from the 3 line segments from the points (0,0,0) to (1,0,0), (1,0,0) to (1,1,0) and (1,1,0) to (1,1,1) and let C, be the line from (0,0,0) to (1,1,1). (1) Compute the line integrals fF.dr and fF.dr.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(b) Let F = 3x²i+2yzj+ y²k, let C, be the path made up from the 3 line segments from the points (0,0,0) to (1,0,0), (1,0,0) to (1,1,0) and (1,1,0) to (1,1,1) and let C₂ be the line from (0,0,0) to (1,1,1). (i) Compute the line integrals fF.dr and fF.dr. fF.dr : CAPE200001 F.dr :
Transcribed Image Text:(b) Let F = 3x²i+2yzj+ y²k, let C, be the path made up from the 3 line segments from the points (0,0,0) to (1,0,0), (1,0,0) to (1,1,0) and (1,1,0) to (1,1,1) and let C₂ be the line from (0,0,0) to (1,1,1). (i) Compute the line integrals fF.dr and fF.dr. fF.dr : CAPE200001 F.dr :
Jan R 18CAPE200001s1 ✓ XD (a) CA Tutorial 1 www. {T Po Tutorial 2 = ti + 2t j + tk, Object A follows a trajectory given by the position vector r where t is time. Object B starts at position (-2, -2, -3) and moves with constant velocity v = i+j+2k. Find the minimum distance between A and B. n
Transcribed Image Text:Jan R 18CAPE200001s1 ✓ XD (a) CA Tutorial 1 www. {T Po Tutorial 2 = ti + 2t j + tk, Object A follows a trajectory given by the position vector r where t is time. Object B starts at position (-2, -2, -3) and moves with constant velocity v = i+j+2k. Find the minimum distance between A and B. n
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