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Vektorer og koordinatgeometri for gymnasiet

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4.1 Évelse se 4a <strong>og</strong> 4b.<br />

Skriv koordinater:<br />

P<br />

(<br />

Q<br />

(<br />

<br />

a <br />

<br />

<br />

<br />

b <br />

<br />

<br />

R<br />

(<br />

S<br />

(<br />

<br />

<br />

c <br />

<br />

<br />

<br />

<br />

d <br />

<br />

<br />

4.2 Évelse se 4g.<br />

2<br />

(a) KoordinatsÅttet a <br />

3<br />

<br />

<strong>for</strong>tÅller at a gÇr i x-aksens retning<br />

<strong>og</strong> i y-aksens retning.<br />

(b) AfsÅt a ud fra P.<br />

3<br />

(c) KoordinatsÅttet b <br />

1<br />

<br />

<strong>for</strong>tÅller at b gÇr i x-aksens retning<br />

<strong>og</strong> i y-aksens retning.<br />

(d) AfsÅt b ud fra P.<br />

5.1 Évelse se 5c.<br />

Skriv koordinater:<br />

P = ( , ) = ( , )<br />

Q = (<br />

6.1 Évelse se 6a, 6b, 4a <strong>og</strong> 5c.<br />

A ( 8,<br />

3)<br />

<strong>og</strong> B<br />

( 4,<br />

6)<br />

<br />

(a) AA <br />

<br />

(b) Hvis BC o<br />

<br />

, er C = (<br />

<strong>Vektorer</strong> <strong>og</strong> <strong>koordinatgeometri</strong> <strong>for</strong> <strong>gymnasiet</strong> 25 2012 Karsten Juul<br />

d <br />

R<br />

b <br />

z<br />

1<br />

P<br />

c <br />

1<br />

x<br />

1<br />

y<br />

P<br />

( 4,<br />

5)<br />

-2<br />

<br />

-7<br />

P<br />

a <br />

h<br />

<br />

k<br />

S<br />

Q<br />

Q

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