Question
Show that the vector addition is associative.OR
Show that $(\vec{\text{A}}+\vec{\text{B}})+\vec{\text{C}}=\vec{\text{A}}+(\vec{\text{B}}+\vec{\text{C}}).$
Show that $(\vec{\text{A}}+\vec{\text{B}})+\vec{\text{C}}=\vec{\text{A}}+(\vec{\text{B}}+\vec{\text{C}}).$
To show that vector addition is associative, we consider addition of three vectors $\vec{\text{A}},\vec{\text{B}}$ and $\vec{\text{C}}$ in two different manners. Let us first add $\vec{\text{A}}$ and $\vec{\text{B}}$ to obtain a vector $\overrightarrow{\text{KM}}$ and then add $\vec{\text{C}}$ to it so as to get the resultant vector $\overrightarrow{\text{KN}}.$ It means that
