From Förberedande kurs i matematik 2

Revision as of 14:57, 16 September 2008 (edit) Tekbot (Talk | contribs) m (Lösning 3.2:2d moved to Solution 3.2:2d: Robot: moved page) ← Previous diff		Current revision (09:41, 29 October 2008) (edit) (undo) Tek (Talk | contribs) m
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-	{{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
-	<center> [[Image:3_2_2d.gif]] </center>	+
-	{{NAVCONTENT_STOP}}	+	{{Displayed math||<math>|z-(1+i)|=3</math>}}
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		+	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]]

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Current revision

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.