![]() Note, F n-x and F n-y are the components of each individual vector where n is the numbering of each vector being added. When a set of vectors are described using Cartesian unit vectors ( i and j), then the resultant vector is just the addition (or subtraction) each components, giving Unit vectors give direction where magnitude gives the length of the vector. Unit vectors in the x and y directions ( i and j) where used the above paragraphs, but unit vectors can also be used in any direction. ![]() If the angle θ is measured from the x axis counterclockwise, then the scalar components are This configuration is the most common to describe a vector and allows vectors to be added and subtracted quickly and easily. The vectors i and j are called Cartesian unit vectors, and F x and F y are the scalar components of the vector F. If two vectors, i and j, have a magnitude of one and are in the x and y direction respectively, then F can be written as If the x-y axis is oriented along these components, they are labeled F x and F y If the vectors F 1 and F 2 are perpendicular to each other, they are called rectangular, or Cartesian, components. For example, if two vectors, F 1 and F 2, give the vector F when added together, then F 1 and F 2 are said to be components of the vector F: To help solve this problem, vectors are usually split into components. This makes mathematical operations difficult (cannot simply add angles). In the previous section, vectors were described using its magnitude and direction.
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