Complex Numbers And Quadratic Equations question 98

Question: Let $ z $ be a complex number. Then the angle between vectors $ z $ and $ -iz $ is

Options:

A) $ \pi $

B) 0

C) $ -\frac{\pi }{2} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Since the multiplication of a complex number by $ -i $ rotates through it by a right angle in negative (clockwise) direction.