The point represented by the complex number 2 – i is rotated about origin through an angle π/2 in the clockwise direction, the new position of point is:
Given z = 2 – i
If z rotated through an angle of π/2 about the origin in clockwise direction.
Then the new position = z. e-(π/2)
= (2 – i) e-(π/2)
= (2 – i) [cos (-π/2) + i sin (-π/2)]
= (2 – i) (0 – i)
= -1 – 2i
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Generated by AI. May contain inaccuracies — always verify with your textbook.
