Vectors & Scalars
Scalars ↓ector(
-
time -
displacement a
change in
position
mass velocity
-
-
rateofchange of
displacement
-
speed of distance
-
acceleration of
rate of
change rate of change velocity
-
distance length of
path travelled
-
weight
-
length/height -
force
Graphical Representation
many "are
how from N ?
Bearing :
you
clockwise
3o
㎡ 36oe
4
.
N Noo n
□ ㆀ ㅿ
S
↴
N220
.
de ' 90E N220
λ 90E W20
O O
ad
'
t
" v
500 oo
' .
50
.
'
w.
36
3 aa
.
nsa
w.
36
.
m ㆃ □ ㆀ ㆀ
σ
ㅜ
-
N220
. so
J ac ' wis
631) ε N220
.
\ 90E N220 36' E
π
"
270 -
63
ㄻ 180-20 90-36
160 5t
'
LO ]
:
= :
√ ' 0
V
58
o
1g g
.
Compass Point -
how close are
you
to a
particular compass point ? In what direction are
you being pulled away
?
Beoe
Noo 60° E of N
'
㉓
N220
.
90E W220 ot
아
ㅨ
67' Sot E
V
' . 、
o
.
go
20"NoF S
Relative to another vector (must be tail -
tail ) !
∞
A
680 A
{
β 、
고 β
ㅑ
1480
A :
68° relative to B A : 148"relative to B
A
B: 68 relative to A B : 148' relative to A
v
∆比
, Finding the resultant (of 2 vectors (
the vectors from head
put all tail
· -
draw the resultant from the tail of the first rector to the head of the last
of the resultant
use
pythag to find the magnitude
use
trig ratios (plsuse tan ) ! to find the angle of the resultant. . State the
angle using bearing OR compacspt
make sure to answer the & direction
question with both
magnitude in one line even
though you've
worked them out
separately
310m bearing 62
eg of
-
: on a
Finding the resultant (of more than two vectors (
\ reduce all vectors to their components (vertical & horizontal)
2
find Fnetwert and Frethor
3 and Frethor head
place Fnetwert tail ->
↑
draw the resultant from the tail of the first rector to the head of the last
of the resultant
use
pythag to find the magnitude
(plsuse tan )
6
to find the angle
use
trigratios !
of the resultant. . State the
angle using bearing OR compass
pts
7
make sure to answer the & direction
question with both
magnitude in one line even
though you've
worked them out
separately
310m bearing 62
eg of
-
: on a
Example : calculate the resultant of the
following vectors :
↑ SN 65N of S ; 60N bearing 110 ; TON
bearing 310
√
F ney \
m
☆ F vert: 70 cos so
} 38 , 04N West
Fhrr = Co sin so
、
5
F vert
jon
5 , 46N North
o
Fres
ε θ
ㄻ
λ
∂
し
05
GoN
# vert 다
☆ Fres = ,
38 04" + 3196
= 38 , 73 N
π ど \
F
her
Gosinzo = Fuert
ㅣ
F hor =
45 sin G5 Frert= 20 , 52N S
Frert: 60 (C) 20 =
Fnor .
45 cOS 65 81 , 83
¤
℃ W S S Fnor = 36 , 38N E
= 19 , 0
> Fres 38 93N
bearing of
:
278
17
, on a ,
hor : W is O
vert: S is O
고 Fret nor
=
53 ,
62 + 10 , 78-56 , 36
38 ,04N
=
, West
F net =
vert 19 ,
02 + 20 , 32-45, 00 ,
= -
5 , 46 N
=
5 , 46N North
Scalars ↓ector(
-
time -
displacement a
change in
position
mass velocity
-
-
rateofchange of
displacement
-
speed of distance
-
acceleration of
rate of
change rate of change velocity
-
distance length of
path travelled
-
weight
-
length/height -
force
Graphical Representation
many "are
how from N ?
Bearing :
you
clockwise
3o
㎡ 36oe
4
.
N Noo n
□ ㆀ ㅿ
S
↴
N220
.
de ' 90E N220
λ 90E W20
O O
ad
'
t
" v
500 oo
' .
50
.
'
w.
36
3 aa
.
nsa
w.
36
.
m ㆃ □ ㆀ ㆀ
σ
ㅜ
-
N220
. so
J ac ' wis
631) ε N220
.
\ 90E N220 36' E
π
"
270 -
63
ㄻ 180-20 90-36
160 5t
'
LO ]
:
= :
√ ' 0
V
58
o
1g g
.
Compass Point -
how close are
you
to a
particular compass point ? In what direction are
you being pulled away
?
Beoe
Noo 60° E of N
'
㉓
N220
.
90E W220 ot
아
ㅨ
67' Sot E
V
' . 、
o
.
go
20"NoF S
Relative to another vector (must be tail -
tail ) !
∞
A
680 A
{
β 、
고 β
ㅑ
1480
A :
68° relative to B A : 148"relative to B
A
B: 68 relative to A B : 148' relative to A
v
∆比
, Finding the resultant (of 2 vectors (
the vectors from head
put all tail
· -
draw the resultant from the tail of the first rector to the head of the last
of the resultant
use
pythag to find the magnitude
use
trig ratios (plsuse tan ) ! to find the angle of the resultant. . State the
angle using bearing OR compacspt
make sure to answer the & direction
question with both
magnitude in one line even
though you've
worked them out
separately
310m bearing 62
eg of
-
: on a
Finding the resultant (of more than two vectors (
\ reduce all vectors to their components (vertical & horizontal)
2
find Fnetwert and Frethor
3 and Frethor head
place Fnetwert tail ->
↑
draw the resultant from the tail of the first rector to the head of the last
of the resultant
use
pythag to find the magnitude
(plsuse tan )
6
to find the angle
use
trigratios !
of the resultant. . State the
angle using bearing OR compass
pts
7
make sure to answer the & direction
question with both
magnitude in one line even
though you've
worked them out
separately
310m bearing 62
eg of
-
: on a
Example : calculate the resultant of the
following vectors :
↑ SN 65N of S ; 60N bearing 110 ; TON
bearing 310
√
F ney \
m
☆ F vert: 70 cos so
} 38 , 04N West
Fhrr = Co sin so
、
5
F vert
jon
5 , 46N North
o
Fres
ε θ
ㄻ
λ
∂
し
05
GoN
# vert 다
☆ Fres = ,
38 04" + 3196
= 38 , 73 N
π ど \
F
her
Gosinzo = Fuert
ㅣ
F hor =
45 sin G5 Frert= 20 , 52N S
Frert: 60 (C) 20 =
Fnor .
45 cOS 65 81 , 83
¤
℃ W S S Fnor = 36 , 38N E
= 19 , 0
> Fres 38 93N
bearing of
:
278
17
, on a ,
hor : W is O
vert: S is O
고 Fret nor
=
53 ,
62 + 10 , 78-56 , 36
38 ,04N
=
, West
F net =
vert 19 ,
02 + 20 , 32-45, 00 ,
= -
5 , 46 N
=
5 , 46N North
