Testing for conservative vector fields Determine whether thefollowing vector field is conservative (in ℝ2 or ℝ3). F = ⟨1, 1⟩

Match the vector diagrams

3(tnevious) Evaluate the flax of F= (3ry +3x)-353 acros the closed megim og the parabola y=1- (x-0*, =1 A the en closed TODO. a avis. I. Conservatie fields & Path -independence There is a SPECIAL clos f vector fie ds called Conseriative he Us. If we revisit the BEE exauple from last lecture, and becouse we ai molified the protlem greatly by assuntng that ONLY gravity is

Using practical examples of scalar fields f and vector fields E of your choice, describe with the aid of diagrams the physical meaning of the gradient ( Vf), divergence (VF) and curl (VXF). Gradient: Electromagnetic example + Non-electromagnetic example Divergence: Electromagnetic example + Non-electromagnetic example Curl: Electromagnetic example + Non-electromagnetic example