![]() This allows us to movevectors around the coordinate system to help simplify the math involved withthem.Įxpressing Vectors Using ComponentsVectors can be expressed in terms of their magnitude and direction or interms of their components. The second concept that the diagram shows is that two vectors with thesame magnitude and direction are the same. This is sometimes called the tip of a vector. With vectors, direction isvery important so we put an arrowhead in the direction that the vector isgoing. ![]() The first is the concept ofthe tip and the tail of a vector. ![]() The following diagram illustrates two points. The first step when solving any problemin physics is to draw a picture. Vector DiagramsWe use vector diagrams to visualize what is going on in a physical system.Even though we can work out most problems algebraically, a picture can helppoint out subtleties of a problem. The table belowshows the color scheme that we will be using from now on. Wewill use colors to distinguish what each vector represents. Note: The drawings on this page contain many vector diagrams. Vectors, unlike scalars, have two characteristics, magnitude and direction. Multi-dimensional quantities are those which require more thanone number to completely describe them. Vector: Vectors are used to describe multi-dimensionalquantities.
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