What is the distance between 4-i and -2+3i?

1 answer:

4 0

If you're working with complex numbers, then I'm sure you're comfortable with plotting them on a complex-plane ... real part of the number along the x-axis, and imaginary part of the number along the y-axis.

When you look at it that way, your two points are simply two points on the x-y plane:

   4 - i    ===> (4, -1)

   -2 + 3i ===> (-2, 3) .

The distance between them is

   D = √ (difference in 'x')² + (difference in 'y')²

   = √ (6)² + (4)²

   = √ (36 + 16)

   = √ (52)

   =    7.211 (rounded)

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