Sure, we can focus on the geometric meaning on the complex plane. But does the fact that i = sqrt(-1) have NO significance in such transformations and vector calculations? Like I feel like this definition of the imaginary unit is too relevant to real numbers to be simply ignored.
Why all i and j in this lecture don't have a dot above? Is this a front issue of some other weird bug? Feels a bit weird.
Wouldn't the data that we're using be largely real and not contain imaginary components, so the additional operations offered by the complex number encoding wouldn't be able to be used?
When would we have to deal with imaginary units when we are commonly working with real numbers and shapes?