| The following applet shows how to multiply and add complex numbers (vectors in the plane). For multiplication, add the angles and multiply the lengths to get the product. Hit the button C=A*B twice to turn on and off the arc illustration of angle addition. The illustration works best when both factors are in the first quadrants. Hit the button C=A+B to again and again to alternate between illustrations of the head-to-tail method and the component method for vector addition. Now experiment or play.
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www.whyslopes.com Hint: See the (newest) Complex Number. Starter Lesson. for a simple geometric introduction, then continue with easy consequence below. The fundamental theorem of algebra and partial fraction decomposition in calculus depend on complex numbers. Easy Consequences First Earlier (Old) exposition of complex numbers follows in Z1 to B1 below - read for review or revision . D1 to D6 after provide a review of vectors. More on Complex Numbers:
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