​
Worksheet 3
​
Method
​
​
​Vector Addition Using Component
​
Find the magnitude and direction of the resultant (displacement) when
vector A with a magnitude of 9.20 N and direction of 32.0° north of
east is added to vector B with a magnitude of 7.40 N and direction of
54.0° south of west.
=
1. Draw and completely label the two vectors on the same
coordinate system, including their components.
q.MN
TH
"⑦
sty
%¥#
By -0
7#
A# A.
Ay=A
costa
-
sin
A
By-i-A.sn#RyAx-¥g=-B°B
2. Find the components of both vectors.
9.20
'
6532=7.80
-
sin
32=4.88
s.us?z;--=?;Y;sin#.---s-.99
13×1-7.40-6554.2=-4.35
"✗
Ay=q .no
=
A
:( 7.80-4.887
B :( -4.35
,
-5.99 )
Ax= 9.20
'
6532=7.80
Ay=q .no
-
sin
32=4.88
BXI-7.40-coss.lt#---4.35By=-f.yo.sin54i----5.99Rx--
3. Find the magnitude of the resultant.
R=
¥-54.11T
=
3.62N
3.45
←
Ry
=
-
1. I
magnitude
4. Find the direction – includes angle and cardinal coordinate – for
the resultant.
8- tail'¥ )
"
tan
1=-17.84
a
-
7
'
17--8
'
>
L
:1z.8atS