Question

Let $\sqrt{2}$ be a complex number. Then the angle between vectors $\frac{\pi}{2}$ and $\bar{z}$ is.

• A. $z$
• B. 0
• C. $|z| = |\bar{z}|$
• D. None of these

Answer 1

Answer: (C)

$|z| = |\bar{z}|$

Answer 2

Since the multiplication of a complex number by $\frac{\sqrt{3} + i}{\sqrt{3} + i}$ rotates through it by a right angle in negative (clockwise) direction.