A star plot visualizes an observation $X$ with $n$ attributes. If we define the vector $V = (v_1, v_2, \dots, v_n)$ and the area is calculated as $A = \frac{1}{2} \sum_{i=1}^{n} v_i v_{i+1} \sin(\frac{2\pi}{n})$, how does the area change if all components $v_i$ are scaled by a factor $k > 1$?