Calculate directly the line integral 6a ds of the vector a--y + xy around the closed path in the xy plane with straight sides given by: (0, 0) (3, 0) (3,4) (0,4) (0,0). also calculate the surface integral of v x a over the enclosed area and show that (1-67) is satisfied.

Sawyer is studying diffraction. he draws a diagram of a plane wave to show how light waves travel. which best describes sawyer’s error? the wave fronts should be perpendicular to the direction in which the waves move. the arrow showing the direction of movement of the waves should be pointing to the left. the arrow showing the direction of movement of the waves should be pointing downward. the wave fronts should be both parallel and perpendicular to the direction in which the waves move.