Since $\mathbf{A}$ is one unit long and directed due east, its components are $\mathbf{A} = \langle 1, 0 \rangle$. Similarly, since $\mathbf{B}$ is three units long and directed due north, its components are $\mathbf{B} = \langle 0, 3 \rangle$.
Now, we have the
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