Step 1:
First, we need to understand that the position vector of a vector $\mathbf{v}$ with initial point $P(x_1, y_1)$ and terminal point $Q(x_2, y_2)$ is given by the formula $\mathbf{v} = (x_2 - x_1) \mathbf{i} + (y_2 - y_1) \mathbf{j}$.
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