Vector addition using components
In the previous section we have learnt about addition and subtraction of two vectors using geometric methods. But once we choose a coordinate system, the addition and subtraction of vectors becomes much easier to perform.
The two vectors and in a Cartesian coordinate system can be expressed as
Then the addition of two vectors is equivalent to adding their corresponding x, y and z components.
Similarly the subtraction of two vectors is equivalent to subtracting the corresponding x, y and z components.
The above rules form an analytical way of adding and subtracting two vectors.