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A vector has both magnitude and directio...

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

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No , a vector has both amgnitude and direction , it does not mean that anything that has magnitude and direction is necessarily a vector. A vector quantity should always obey the rules of vector addition . The finite rotation of a body about any axis is not a vector as it does not obey the rules of vector addition. But the very small rotation of a body is considered as a vectors as it obeys the rules of vector addition .
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