Lösung 3.2:2d
Aus Online Mathematik Brückenkurs 2
(Unterschied zwischen Versionen)
K (Lösning 3.2:2d moved to Solution 3.2:2d: Robot: moved page) |
|||
| Zeile 1: | Zeile 1: | ||
{{NAVCONTENT_START}} | {{NAVCONTENT_START}} | ||
| - | < | + | 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 |
| - | + | ||
| + | <math>|z-(1+i)|=3</math> | ||
| + | |||
| + | it says that the distance between <math>z</math> and <math>1+i</math> should be <math>3</math>, i.e. we obtain a circle of radius <math>3</math> and centre at <math>1+i</math>. | ||
[[Image:3_2_2_d.gif|center]] | [[Image:3_2_2_d.gif|center]] | ||
| + | |||
| + | {{NAVCONTENT_STOP}} | ||
Version vom 10:54, 3. Okt. 2008
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 \displaystyle 3, i.e. we obtain a circle of radius \displaystyle 3 and centre at \displaystyle 1+i.
