Motion in A Plane

Physics Part I

Physics

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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?

For a quantity to be a vector, magnitude and direction are not the only sufficient conditions. Rotation of a body is specified by direction. But, it is not necessary that it is always a vector quantity. Finite rotation of a body about an axis is not a vector because finite rotation does not obey the laws of vector additions. Only infinitesimally small rotation is a vector quantity.

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What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors.

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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.

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