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...


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),<br>B(0,2,0) and C(1,0,0) as well as the vector field V(x, y,z) = (z, x, y).<br>a) Determine a parametric representation of T. Hint: Begin by parameterising the<br>line segment 1 from B to C, after which you can parameterise T via lines from<br>A to 1.<br>b) Compute the circulation of V along the boundary curve aT of T with an orien-<br>tation of aT given as ABCA.<br>

Extracted 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.

Jun 04, 2022
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