Addition of vectors by Head to Tail method (Graphical Method)

Addition of vectors by Head to Tail method (Graphical Method)
Head to Tail method or graphical method is one of the easiest method used to find the resultant vector of two of more than two vectors.
Consider two vectors  and  acting in the directions as shown below:
In order to get their resultant vector by head to tail method we must follow the following steps:
STEP # 1
Choose a suitable scale for the vectors so that they can be plotted on the paper.
STEP # 2
Draw representative line  of vector 
Draw representative line  of vector  such that the tail of  coincides with the head of vector .
STEP # 3
Join ‘O’ and ‘B’.
 represents resultant vector of given vectors  and  i.e.
STEP # 4
Measure the length of line segment  and multiply it with the scale choosen initially to get the magnitude of resultant vector.
STEP # 5
The direction of the resultant vector is directed from the tail of vector  to the head of vector .