: After plotting the two Vectors a resultant can then be drawn in to see
the resulting vectoring. Using the information given and a protractor, the direction
is found as well as the magnitude. For this graph you can see that the resultant
vector had a
length of 6.1cm
and a
force of 0.305g.
This was found using
Pythagorean Theorem.
Also the direction that was found
graphically was 45
°
.
Pythagorean Theorem Formula used
:
a
2
+
b
2
=
c
2
(
A
=
onesideof the triangle ,B
=
one sideof the triangle ,C
=
the hypotenuse
)
Analytical
: Breaking up the two vector forces into components then adding them
together we find that the
Resultant vector force to be 0.3041g,
and using the
inverse Tangent function the
angle of the Resultant force is found to be 45
°
.
Vector Addition III:
Graphical and Analytical
Page
4
of
11

Name
Method:
Graphical
: After plotting the two Vectors a resultant can then be drawn in to see
the resulting vectoring. Using the information given and a protractor, the direction
is found as well as the magnitude. For this graph you can see that the resultant
vector had a
length of 5cm
and a
force of 0.25g.
This was found using
Pythagorean Theorem.
Also the direction that was found
graphically was 36
°
.
Pythagorean Theorem Formula used
:
a
2
+
b
2
=
c
2
(
A
=
onesideof the triangle ,B
=
one sideof the triangle ,C
=
the hypotenuse
)
Analytical
: Breaking up the two vector forces into components then adding them
together we find that the
Resultant vector force to be 0.25g,
and using the
Page
5
of
11

Name
inverse Tangent function the
angle of the Resultant force is found to be 36.9
°
.
Vector Resolution:
Graphical and Analytical
Method:
Graphical
: After plotting the Vector using the information given, it is then broken
up into components to find the
force
x
=
0.15
g
and the
force
y
= 0.26g.
Analytical
: Breaking up the Force Vector into its components both the
x, y
forces
can be obtained.
F
x
=
0.15
g
And
F
y
=
0.26
g.
Vector Addition IV:
Graphical and Analytical
Page
6
of
11

Name