Consider the following vectors. Choose the correct statement.

The given situation for connection of vectors is given as
According to rule of vector addition, In $\triangle P Q R$, $\mathbf{A}=\mathbf{B}+\mathbf{E} \Rightarrow \mathbf{E}=\mathbf{A}-\mathbf{B} \Rightarrow-\mathbf{E}=-\mathbf{A}+\mathbf{B}\ldots$ (i) Again, according to rule of vector addition, In $\triangle P S R$, $\mathbf{C}=\mathbf{A}+\mathbf{D} \Rightarrow \mathbf{A}=\mathbf{C}-\mathbf{D} \Rightarrow \mathbf{A}=-\mathbf{D}+\mathbf{C}\ldots$ (ii) From Eqs. (i) and (ii), we see that option (b) is correct.