Consider the three-dimensional vector field F(x, y,z) (y, x,xz) and the curve C parametrised by r(t)...

Transcribed Image Text:

Consider the three-dimensional vector field F(x, y,z) (y, x,xz) and the curve C parametrised by r(t) = (t,t²,?³) for 0 < t < 1. Prove whether or not F can be written as curl G for some vector field G. Consider the three-dimensional vector field F(x, y,z) (y, x,xz) and the curve C parametrised by r(t) = (t,t²,?³) for 0 < t < 1. Prove whether or not F can be written as curl G for some vector field G.

Answer rating: 100% (QA)

first assume that F can be wri... View the full answer