Question:
Suppose, ω is a cube root of unity with ω ≠ 1. Suppose, P and Q are the points on the complex plane defined by ω and ω2. If O is the origin, then what is the angle between OP and OQ?
Suppose, ω is a cube root of unity with ω ≠ 1. Suppose, P and Q are the points on the complex plane defined by ω and ω2. If O is the origin, then what is the angle between OP and OQ?
Options:
- 90°
- 120°
- 60°
- 150°
- 90°
- 120°
- 60°
- 150°
Correct Answer: b)
Explanation:
We know that, nth r∞ts of unity represent √ertex of a regular polygon in argand plane.
Angle between OP and OQ
‘ = arg(w?) — arg(w)
=dr 2m 2 p0°
We know that, nth r∞ts of unity represent √ertex of a regular polygon in argand plane.
Angle between OP and OQ
‘ = arg(w?) — arg(w)
=dr 2m 2 p0°