Angular displacement has a magnitude and direction. The magnitude is the angle through which an object turns in the coordinate system.. The direction is given by the rule - right hand thumb rule.. u can curl the fingers in the direction of movement of body.. then thumb gives direction.
However, the law of vector addition is not followed by angular velocity. so it is not a vector. It is not a scalar either because it has a direction associated with it. It is a tensor quantity of two dimensions.
