A vortex that rotates at constant angular velocity w about the z-axis has velocity vector field v = w(-yn + x). ) Sketch, on a separate sheet of paper, the vector field with w = 1 and the vector field with w = the distance from its center, r. 1. Then determine the speed ||v|| of the vortex as a fu peed = -) Compute div v and curl v. iv v = -wx+wy url = k(xwx+ywy) ) Compute the circulation of v counterclockwise about the circle of radius R in the ay-plane, centered at the origin. Tculation =

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.