# Adding vectors by components

Two vector can be easily summed by using vector sum by geometrical method but it is not practical way to add vectors.

For a simpler and more practical way of adding two or more vectors then we can use component method of vector sum or add vectors by components.

Let there be three vector , and

and if vector is the sum of vectors and or ,

then,

The x component of vector r is the sum of x components of vector a and b , the y component of vector r is the sum of y components of vector a and b and the z component of vector r is the sum of z components of vector a and b.

Or ,

,

and

Or ,

The procedure for adding vector by components also applies to vector subtraction.

For example if :

then:

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