Curl Test for vector fields

  • #1

Homework Statement


F=-ysin(x)i+cos(x)j


Homework Equations


Can the Curl test be applied to this vector field and state three facts you can deduce after applying the curl test.


The Attempt at a Solution

 

Answers and Replies

  • #2
136
0
What exactly do you mean by "curl test"?
 
  • #3
the curl test is a test to find if a vector field is path independent by taking the partial derivative of F1 and F2 of a function F with respect to x, for F2, and with respect to y, for F1.

Basically im havin trouble finding 3 facts to incur about this F after the curl test.
 
  • #4
136
0
Are you able to find the curl of this vector field?

In general, if the curl of a vector field is zero, that means that (a) it's the gradient of a scalar (potential) function; and (b) the line integral of scalar potential function is path-independent.
 

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