Answer: 1 + √3i.
- A 2 + 2i
- B √3 + i
- C 1 + i
- D 1 + √3i
Correct answer: D. 1 + √3i
Explanation: z = 2(1/2 + i sqrt(3)/2) = 1 + sqrt(3) i.
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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