1The curl vector and rotation of a solid body. In this part of the project we study a connection between the curl vector and rotations. Let B be a rigid body rotating about the z axis. The rotation can be described by the vector where a, is the angular speed of B, that is, the tangential speed of any point P in B divided by the distance d from the axis of rotation. Letアー〈z, y, z) be the position vector of P (a) By considering the angle θ in the figure, show that the velocity field of B is given by = w ×ア. [In the figure "bold face" notation is used for vectors.] (b) Show that t--wy→ + wz7. (c) Show that curl T-2 0