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 | ||
| - | {{ | + | {{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 \displaystyle |z-w| is equal to the distance between the complex numbers \displaystyle z and \displaystyle w, so if we rewrite the equality in the exercise as
| \displaystyle |z-(1+i)|=3 |
it says that the distance between \displaystyle z and \displaystyle 1+i should be 3, i.e. we obtain a circle of radius 3 and centre at \displaystyle 1+i.
