Vector Algebra

$\mathbf{E}=\mathbf{A}-\mathbf{B}$ and $\mathbf{A}=\mathbf{D}+\mathbf{C}$

$-\mathbf{E}=-\mathbf{A}+\mathbf{B}$ and $\mathbf{A}=-\mathbf{D}+\mathbf{C}$

$\mathbf{E}=-\mathbf{A}-\mathbf{B}$ and $\mathbf{E}=-\mathbf{B}+\mathbf{D}+\mathbf{C}$

$\mathbf{E}=-\mathbf{A}-\mathbf{B}$ and $\mathbf{E}=-\mathbf{B}+\mathbf{C}-\mathbf{D}$