The magnitude of a vector $\mathbf{v} = (v_x, v_y)$ is given by $\sqrt{v_x^2 + v_y^2}$. So, for $\mathbf{v} = \left(\frac{3}{2}, \frac{5}{2}\right)$, the magnitude is $\sqrt{\left(\frac{3}{2}\right)^2 + \left(\frac{5}{2}\right)^2} = \sqrt{\frac{9}{4} +
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