The vectors given are $\mathbf{v} = 4\mathbf{i}$ and $\mathbf{w} = \mathbf{j}$. In component form, $\mathbf{v} = (4, 0)$ and $\mathbf{w} = (0, 1)$. The dot product of two vectors $\mathbf{v} = (v_1, v_2)$ and $\mathbf{w} = (w_1, w_2)$ is calculated
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