Comment on Fuck geometry
suzune@ani.social 5 weeks agoPlease 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 also 1
. Just as a+bi
will have the length sqrt(a^2 + b^2)
. You can also use polar coordinates for complex numbers. This way, you can see that i
has length 1
, which is the distance from 0
.
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.