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Samenvatting Aantekeningen Conceptuele Natuurkunde | KU Leuven | 2025/26

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Aantekeningen voor Conceptuele Natuurkunde aan KU Leuven, met focus op vectormeetkunde en golven. De notities behandelen vectorbewerkingen (inproduct, kruisproduct), basis en orthonormale vectoren, staande golven met knopen en buiken, en het Doppler-effect voor bewegende bronnen en waarnemers. Dit document is ideaal voor examenvoorbereiding en helpt je de kernconcepten van vectoren en golfverschijnselen snel te begrijpen.

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Vectoren 30-richting norm Hill = (i) = ~




nulvedor 5 = 0




Bewerkingen met vectoren
1) vermenge meteen gekal
Xi((R) =
-
↳ neefde als Hirl Hhr,
richting i
,
=



als 10
liegengestelde
hir van ↓-> hir van i
mi i als i o




zopkellen

= -
3) Improduct projectie van vert i
op
in



i v .

= Nrcost n
*
Nu
↳ projectie van ge in
Nw = Nest


wast = v

= i INw) = Nes (i A)
-




---losA 7/8



of Ne : West to

("verkeerde kant in

,Basis in Ro

mer E
, is ,
... in met ti , ij =
o dritj
-




basis & i [i 1
Orkhonormale
=
-




[
i. =
noost() i v In to fil
ES O
I in
=




-S
u in
. =
UMc50 = u2

ofnu v =


lic
nut ? Elke verkor i kan worden uitgedruktals
v/d basisveren

~ .
v =Nitiviteit =
j

Improduct von componenten
in = (m +, .
.
. , d)
E =
(m- ,
.



. ., nd)


=K
# -


v


= j
Vivi-i
en
.


ej
to als
i =
j
=
EMini = M1N1 + -- -
- M & Nd

,Toepassing in 20

1


----------------



Ny Ty

-
= v .




= Nos(E-A)
= VSint
J

~
N = v .

In = Nest




Notery? =N casts en


verproduct (n +0 + v)
meikundig
↓ vertor met
x i = nieuwe
lengte
die ↓
ursint
i en v
-




uithetbld")
op
In mi
bepaald da Chandregel

110
of i

Xi = -
uxi
en x in 110 ( "In het blad")

-
m
: Vi =
DEx Sint = oES A = ovit


ET TIlv

,* (iii) = ~




8 ontz
-
ande
det M =




kolon det verandert van Reken

(
amwisseling rij ,

Calledet
Z
gelijke Rijn/kolommen det = O
dat , ..




= an (beey-Agez) -




ar(bey -
by mu)
ay(bn +
-
Na -1)
+



( eeen S
- -

MXv
Interna , wa =

les 1
=>

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Uploaded on
August 31, 2026
Number of pages
43
Written in
2025/2026
Type
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