How do I sketch a plane of points on the complex plane that is multiplied by $\frac{1}{64}i$? I mean $f(z) = \frac{1}{64}i\times z$. Do I just rotate my existing plane by $\frac{1}{64}\times\frac{\pi}{2}$ to the left?
2026-03-29 15:54:49.1774799689
How to sketch $f(z) = \frac{1}{64}i \times z$ on the complex plane?
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No. You rotate (clockwise) by an angle $\frac\pi2$, and then you apply a contraction centered at the origin in which everything is reduced by a factor of $64$.