Which vector can be asS0ciated with a plane area? And what is jts direction?

What is the acceleration associated with a mass 'rrf moving up an inclined plane (0) with friction mu?

Rain is falling vertically with a speed of 30 m s^-1 . A woman rides a bicycle with a speed of 10 m s^-1 in the north to south direction. What is the direction in which she should hold her umbrella?

A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope. Find the area of that part of the field in which the horse can graze and the increase in the grazing area if the rope were 10 m long instead of 5 m.

Which of the following can be a vector :

A vector has both magnitude and direction. Does it mean that anything that has magnitude and direction is necessarily a vector? The rotation of a body can be specified by the direction of the axis of rotation, and the angle of rotation about the axis. Does that make any rotation a vector?

A solid cylinder rolles down an inclined plane. Its mass is 2 kg and radius 0.1 m. If the height of the inclined plane is 4m, what is its rotational kinetic energy when it reaches the bottom.