Comment on This feels wrong. I love it.
rtxn@lemmy.world 3 weeks agoIt makes sense if you represent complex numbers as (a, b) pairs, where a is the real part and b is the imaginary part (just like the popular a + bi representation). AB’s length is (1, 0), AC’s length is (0, 1), and BC’s length will also be a complex number.
TowardsTheFuture@lemmy.zip 3 weeks ago
Yes. Also if you think of i as a 90° rotation (with a length of the scalar coefficient infront of i, in this case 1) . Thus one rotates you outwards away from the 2D plane, and two of those gets you back to the 2D plane, just going the other direction.