Video Transcript
What is the distance between the
numbers negative two and six on the complex plane?
We see that we already have a
complex plane or Argand diagram drawn for us, with the numbers negative two and six
marked. Our question is what’s the distance
between these two numbers on the complex plane. Well, negative two and six aren’t
just any complex numbers. They are also real numbers. And so they lie on the real axis of
the complex plane, which we can just think of as the normal real number line.
The distance is measured along this
real number line. And we see that to get from
negative two to six, we have to move two units to get to the zero and then a further
six units to get to six, making a total of eight units. This is the distance between
negative two and six on the complex plane. And it’s exactly the same as the
distance between the real numbers negative two and six on the real number line.
