# Vector Form From Coordinate Rules

This post categorized under Vector and posted on January 9th, 2019.

In a rectangular coordinate system the components of the vector are the projections of the vector along the x y and z directions. For example in the figure the projections of vector A along the x y and z directions are given by A x A y and A z respectively.Coordinate Transformations. Transformations in the Coordinate Plane. Transformations in the coordinate plane are often represented by coordinate rules of the form (x y) -- (x y).In the introduction to vectors we discussed vectors without reference to any coordinate system. By working with just the geometric definition of the magnitude and direction of vectors we were able to define operations such as addition subtraction and multiplication by scalars.

The vector starts in the point (0 0) and ends in (3 2) so the coordinates of the end point are the same as the coordinates of the vector itself. This is true of all vectors that start in the origin of the coordinate system that is in the point (0 0).

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