3 Answered Questions for the topic Vector Fields

Vector Fields Calculus

12/05/21

Conservative Vector Field without using potential function
I am really new to this topic and was tasked to show that G (x,y,z)=<z3−3y2e3x, −2ye3x+2cosz, 4+3xz2−2ysinz> is conservative without using any potential function. How do I pull this off? I... more
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Expert Answers •1

07/17/19

Are the field lines the same as the trajectories of a particle with initial velocity zero?
Is it true that the field lines of an electric field are identical to the trajectories of a charged particle with initial velocity zero? If so, how can one prove it? The claim is from a german... more
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03/23/19

Meaning of derivatives of vector fields?
I have a doubt about the real meaning of the derivative of a vector field. This question seems silly at first but the doubt came when I was studying the definition of tangent space. If I... more
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