• rtxn@lemmy.world
    link
    fedilink
    English
    arrow-up
    7
    ·
    edit-2
    23 days ago

    It 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 that can be expanded to a * (1, 0) + b * (0, 1)). AB’s length is (1, 0), AC’s length is (0, 1), and BC’s length will also be a complex number.

    I think.

    • TowardsTheFuture@lemmy.zip
      link
      fedilink
      English
      arrow-up
      1
      ·
      23 days 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.