Answer: r².
- A r
- B r²
- C 2r
- D r²e2θ
Correct answer: B. r²
Explanation: z2 = r2 e2i theta. |z2| = r2.
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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