## Abstract

When describing the behavior of a physical system, we specify certain physical quantities at various points in space and time. For example, a particle of a given *mass* may be described by its *position* and *velocity* at each space-time point. The behavior of air in a room can depend on the*temperature* at each point in the room. Some of these quantities—*mass, temperature, density*—are completely specified by a single number with the appropriate units i.e., by a *magnitude* only. Such a physical quantity is called a *scalar* and is represented by a mathematical function of space and time called a *scalar point function*. We shall use italic type for symbols representing scalars (e.g., *T* for temperature). Others of these quantities (e.g., *velocity, acceleration, force*) require not only a magnitude but also a *direction* in order to be completely specified. For example, to specify the velocity of a particle, we must not only tell how fast the particle is moving (magnitude) but also tell in what direction it is traveling. A physical quantity of this kind is called a *vector* and is represented by a mathematical function of space and time called a *vector point function*. To denote a vector, we shall use boldface roman type (e.g., **F** for force).

## Keywords

Angular Momentum Cross Product Linear Momentum Vector Product Constant Angular Velocity## Preview

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