Answer: 4.
- A 1
- B −2
- C 4
- D −4
Correct answer: C. 4
Explanation: Using 1 + ω + ω² = 0: 1 − ω + ω² = −2ω and 1 + ω − ω² = −2ω². The product is 4ω³ = 4.
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
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