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Lösung 3.2:2d

Aus Online Mathematik Brückenkurs 2

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In general, the expression <math>|z-w|</math> is equal to the distance between the complex numbers <math>z</math> and <math>w</math>, so if we rewrite the equality in the exercise as
In general, the expression <math>|z-w|</math> is equal to the distance between the complex numbers <math>z</math> and <math>w</math>, so if we rewrite the equality in the exercise as
-
{{Displayed math||<math>|z-(1+i)|=3</math>}}
+
{{Abgesetzte Formel||<math>|z-(1+i)|=3</math>}}
it says that the distance between <math>z</math> and <math>1+i</math> should be 3, i.e. we obtain a circle of radius 3 and centre at <math>1+i</math>.
it says that the distance between <math>z</math> and <math>1+i</math> should be 3, i.e. we obtain a circle of radius 3 and centre at <math>1+i</math>.
[[Image:3_2_2_d.gif|center]]
[[Image:3_2_2_d.gif|center]]

Version vom 13:08, 10. Mär. 2009

In general, the expression z−w is equal to the distance between the complex numbers z and w, so if we rewrite the equality in the exercise as

z−(1+i)=3

it says that the distance between z and 1+i should be 3, i.e. we obtain a circle of radius 3 and centre at 1+i.

Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_3.2:2d“