The vectors $\mathbf{a}$, $\mathbf{b}$, $\mathbf{c}$, and $\mathbf{d}$ are shown below. Using only vector addition, express one of the vectors in terms of the others.
Observe that the tail of $\mathbf{b}$ is at the head of $\mathbf{a}$, and that the tail of $\mathbf{a}$ is at the head of $\mathbf{d}$.
Hence $\mathbf{d}+\mathbf{a} + \mathbf{b}$ is the vector going from the tail of $\mathbf{d}$ to the head of $\mathbf{b}$.
The vector $\mathbf{c}$ also goes from the tail of $\mathbf{d}$ to the head of $\mathbf{b}$. Hence $$\mathbf{c} = \mathbf{d} + \mathbf{a} + \mathbf{b}.$$