Explain the triangle method (head-to-tail method) of vector addition.

(N/A) Let us consider two vectors $\vec{A}$ and $\vec{B}$ that lie in a plane as shown in figure $(a)$.
The lengths of the line segments representing these vectors are proportional to the magnitude of the vectors.
To find the sum $\vec{R} = \vec{A} + \vec{B}$,we place vector $\vec{B}$ such that its tail is at the head of vector $\vec{A}$,as shown in figure $(b)$.
Then,we join the tail of $\vec{A}$ to the head of $\vec{B}$.
This line segment $\vec{OQ}$ represents the resultant vector $\vec{R}$,which is the sum of vectors $\vec{A}$ and $\vec{B}$.
Since,in this procedure of vector addition,vectors are arranged head-to-tail,this graphical method is called the head-to-tail method.
Because the two vectors and their resultant form three sides of a triangle,this method is also known as the triangle method of vector addition.