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Contoh 2.5 Tugas Anda 2.2
7:+= ,>+2 ?/5=9; =3=35 :+815+68B+ ,/;37:3= ,/<+;8B+ 7+<381 7+<381 .+8 Perhatikan operasi vektor berikut.
<+=>+8 //7:+= ?/5=9; 383 7/7,/8=>5 <>.>= =/;2+.+: <>7,> # 7+<381 7+<381 C V = V + V 2
1
C C .+8 C 3=>816+2 836+3 .+8 +;+2 ;/<>6=+88B+ Apakah V selamanya harus lebih
besar daripada V dan V ?
2
1
4 ! V 2 Diskusikan dengan teman Anda.
35/=+2>3 V 3 V 2y
<+=>+8 C V 3y

<+=>+8 C

<+=>+8 C

<+=>+8 C 120°

/<+; =3+: =3+: 597:98/8 V 3x V 4x 60°
?/5=9; .323=>81 240° V 2x V 1
* * -9< C <+=>+8
#
* * <38 C
$

* * -9< C <+=>+8 V 4 V 4y
#

* * <38 C $ $ $ $ $
$
E E
3 <+=>+8

* * -9< C E E <+=>+8

#
/<+; ;/<>6=+8 .3:/;96/2 ./81+8 :/;<+7++8
E <+=>+8

# $ E
* * <38 C

$
<+=>+8
E <+=>+8

* * -9< C E –23,41° R x

#

R
E <+=>+8 y

* * <38 C ;+2 ;/<>6=+8 .3:/;96/2 ./81+8 :/;<+7++8

$

E <+=>+8 E
=+8
#
#
#
#
#
E E E C
<+=>+8 +.3 836+3 ;/<>6=+8 <+=>+8 .+8 +;+28B+
7/7,/8=>5 <>.>= C =/;2+.+: <>7,> #
6. Vektor Satuan y
'/,>+2 ?/5=9; B+81 =/;6/=+5 .3 .+6+7 ;>+81 =31+ .37/8<3 7/736353 j
597:98/8 597:98/8 =/;2+.+: <>7,> # <>7,> $ .+8 <>7,> % */5=9;
<+=>+8 3 B+81 ,/<+;8B+ <+=>+8 +;+28B+ </4+4+; ./81+8 <>7,> # :9<3=30 F
*/5=9; <+=>+8 4 .+8 ?/5=9; <+=>+8 7+<381 7+<381 +;+28B+ </4+4+; x x
=/;2+.+: <>7,> $ .+8 <>7,> % :9<3=30 %/;2+=35+8 +! / B+81 i
7/6>53<5+8 <3<=/7 599;.38+= 5+;=/<3+8 .37/8<3 z k
'/,>+2 ?/5=9; =/;6/=+5 :+.+ ;>+81 6+6> .3:;9B/5<35+8 7/84+.3 y
597:98/8 597:98/8 ?/5=9; .+8 '/-+;+ 7+=/7+=3< */5=9; Gambar 2.12
%
Vektor F dan vektor satuannya dalam
#
$
:+.+ +! / .+:+= .38B+=+5+8 </,+1+3 :/84>76+2+8 .+;3 =31+ ,>+2 koordinat kartesian tiga dimensi
?/5=9; B+3=>
' ( ) E
# $ %
/<+; ?/5=9; .+:+= .323=>81 ./81+8 7/8/8=>5+8 597:98/8
597:98/8 ?/5=9; B+81 <+6381 =/1+5 6>;>< <+=> <+7+ 6+38 7/6+6>3 :/;<+7++8
Vektor 37