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Vector components and Vector equations

As you can imagine some of the equations we defined previously concerning the relationship between position, velocity, and acceleration can be readily generalized to vector equations. There are basically two ways of dealing with equations involving vectors in physics. We can either work geometrically looking at the corresponding vector diagrams. This method is perhaps less methodical but nonetheless can be extremely powerful. The sure fire way is to resolve the vector equation into its components along the directions of a chosen coordinate system. When we do this a vector equation basically becomes a short hand for N scalar equations for each of the components of the vector. We shall see both mathematical and experimental examples of this in the following.



Collin Broholm
Mon Sep 15 10:34:31 EDT 1997