1 Answer

Lingaraj R M · Answer 1 · 2023-08-07T05:15:42+0000

A complex number can be represented using the exponential form:

$z=re^(i\theta)$

Now, using this notation, we represent 3i:

$3i=3e^{(i\pi)/(2)}$

Then, the multiplication of z and 3i:

$3i\cdot z=3e^{(i\pi)/(2)}\cdot re^(i\theta)=3re^(i(\theta+\pi/2))$

Looking at the graph, we must perform a dilation by a factor of 3 and a rotation of π/2 counterclockwise.

The point that best fits these conditions is point B.

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