this post was submitted on 29 Nov 2024
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Please be careful with two different things. Complex numbers have two components. Distances don't. They are scalars. The length of the vector
(0,1)is also1. Just asa+biwill have the lengthsqrt(a^2 + b^2). You can also use polar coordinates for complex numbers. This way, you can see thatihas length1, which is the distance from0.The triangle in the example above adds a vector and a scalar value. You can only add two vectors:
(1,0) + (0,1)which results in(1,1)with the proper length. Or you can calculate the length/distance (absolute values) of the complex numbers directly.