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Visualizing Complex Numbers and Complex Multiplication
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Complex Numbers are just vectors in Complex Plane!
multiplication of a complex number by another one means to rotate it and then scale it by a factor.
The angle of rotation equals the angle that the multiplying complex number makes with the positive real axis and the scaling factor is its Amplitude.
relate video:
Trigonometric Addition Formulas: cos(theta + alpha) = cos(theta).cos(alpha) - sin(theta).sin(alpha)
multiplication of a complex number by another one means to rotate it and then scale it by a factor.
The angle of rotation equals the angle that the multiplying complex number makes with the positive real axis and the scaling factor is its Amplitude.
relate video:
Trigonometric Addition Formulas: cos(theta + alpha) = cos(theta).cos(alpha) - sin(theta).sin(alpha)
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