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In (x, y,z) space we consider the filled-in triangle T that has the corners A(0,0,3), B(0,2,0) and C(1,0,0) as well as the vector field V(x, y, z) = (z, x, y). a) Determine a parametric representation of T. Hint: Begin by parameterising the line segment l from B to C, after which you can parameterise T via lines from A to 1. b) Compute the circulation of V along the boundary curve aT of T with an orien- tation of dT given as ABCA.

In (x, y,z) space we consider the filled-in triangle T that has the corners A(0,0,3), B(0,2,0) and C(1,0,0) as well as the vector field V(x, y, z) = (z, x, y). a) Determine a parametric representation of T. Hint: Begin by parameterising the line segment l from B to C, after which you can parameterise T via lines from A to 1. b) Compute the circulation of V along the boundary curve aT of T with an orien- tation of dT given as ABCA.

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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only solve b part please 

In (x, y, z) space we consider the filled-in triangle T that has the corners A(0,0,3), B(0,2,0) and C(1,0,0) as well as the vector field V(x, y,z) = (z, x, y). a) Determine a parametric representation of T. Hint: Begin by parameterising the line segment 1 from B to C, after which you can parameterise T via lines from A to 1. b) Compute the circulation of V along the boundary curve aT of T with an orien- tation of aT given as ABCA.
Transcribed Image Text:In (x, y, z) space we consider the filled-in triangle T that has the corners A(0,0,3), B(0,2,0) and C(1,0,0) as well as the vector field V(x, y,z) = (z, x, y). a) Determine a parametric representation of T. Hint: Begin by parameterising the line segment 1 from B to C, after which you can parameterise T via lines from A to 1. b) Compute the circulation of V along the boundary curve aT of T with an orien- tation of aT given as ABCA.
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