The discussion revolves around calculating the curl of a vector field F defined as F(x,y,z) = cos(x)i + sin(y)j + exyk at the point (1,1,1). Participants are seeking confirmation of their computed results for the curl.
Multiple participants have provided their computed results for the curl, with some noting corrections to their previous answers. The conversation reflects an ongoing verification process without a definitive consensus on the correct answer yet.
There is an emphasis on the importance of specifying the evaluation point for the curl, which was initially overlooked by some participants. This has led to adjustments in their calculations.
aaronfue said:Homework Statement
Calculate the curl F:
F(x,y,z) = cos(x)i + sin(y)j + exyk at point (1,1,1)
Homework Equations
The Attempt at a Solution
After calculating ∇×F, my answer was:
curl F = 2.72i + 2.72j + 0k
I'd appreciate a confirmation of my answer.
Dick said:No answer is possible until you say at what point you are evaluating the curl. Come on.
aaronfue said:Sorry. Point noted in question.
Dick said:Yeah, my over sight. But I'm getting [e,-e,0]. Can you check that again?
aaronfue said:Yeah, my answer should be [e,-e,0]. I forgot to put a negative on the second rather than a positive.
Answer should be:
curl F = 2.72i - 2.72j + 0k
or
curl F = ei - ej + 0k
Dick said:Then I'll confirm that.