Show that the vector field f (x, y, z) = ⟨ycos (-2x),-2xsin (y),0⟩f (x, y, z) = ⟨ycos⁡ (-2x),-2xsin⁡ (y),0⟩ is not a gradient vector field by computing its curl. how does this show what you intended?

Question

Jordan Norman

22 March, 10:52

+4

Answers (1)

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Joseph Eaton · Answer 1

Since the curl is not the zero vector then the vector field is not conservative, thus the vector field is not a gradient vector field.