Write an appropriate word for each blank: The gradient of a scalar field gives a vector fields exist a field (4 p.). Conservative type fields must satisfy the condition A vector field with zero curl is said to be divergence is said to be (4 p.). div (grad U)= 0 refers to ▪ Q. 3) (15 p.) By following plane polar coordinates, calculate the line integral SF dr, where F is the force and it is defined as F = (x²yî + xy² ĵ) N, it also acts on a body moving between (0, 0) and (1, 0), then from (1, 0) to (1, 1). (Hint: x = r cos0, y = r sine). field while the divergence and the curl of a (4 p.). while a vector field with zero (1, 1) equation (3 p.). YT (0, 0) 0 (1, 0) X