Answer: 1.
- A 0
- B 1
- C 2
- D 3
Correct answer: B. 1
Explanation: 1 + omega = -omega2 (since 1+omega+omega2=0). (1+omega)7 = (-omega2)7 = -omega14 = -omega12+2 = -omega2. So A + B omega = -omega2 = 1 + omega (since -omega2 = 1+omega). A=1, B=1. A+B = 2. Wait: -omega2 = 1+omega means A=1, B=1, sum=2.
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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