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Equilibrium: Static
Related Topics
Wize University Physics Textbook (Master) > Introduction to Vectors
Vector Addition and Subtraction
5 Activities
Three forces act on a ball in different directions: 100N at 32°, 72 N at 135°, and 125 N at 294°. Find the fourth force required to balance these forces.
173.08
°
173.08\degree
173.08°
127.08
°
127.08\degree
127.08°
153.08
°
153.08\degree
153.08°
100.08
°
100.08\degree
100.08°
I don't know
Check Submission
More Vector Addition and Subtraction Questions:
If you walked 3.00km West, and then 5.00km South to get to the store, what angle are you traveling at relative to the South direction? What is the magnitude of your displacement?
If you walked 3.00km West, and then 5.00km South to get to the store, what angle are you traveling at relative to the South direction? What is the magnitude of your displacement?
Practice: Resultant of 2 Vectors
Two forces
F
1
F_1
F
1
and
F
2
F_2
F
2
are shown in the figure. Find the magnitude and direction of the resultant using law of vector addition.
Find the missing vector
In the diagram shown, the unknown vector is
Resultant of 2 Vectors
Two forces
F
1
F_1
F
1
and
F
2
F_2
F
2
are shown in the figure. Find the magnitude and direction of the resultant using law of vector addition.
Practice: Vector Addition and Subtraction
The coordinates of four corners of a Parallelogram
A
B
C
D
ABCD
A
B
C
D
in a Clock-Wise order are
A
=
(
1
,
3
)
A=(1,3)
A
=
(
1
,
3
)
,
B
=
(
−
1
,
5
)
B=(-1,5)
B
=
(
−
1
,
5
)
,
C
C
C
and
D
=
(
4
,
7
)
D=(4,7)
D
=
(
4
,
7
)
. Find missing coordinates of
C
C
C
.
Given an object that is moved
1
m
1\ m
1
m
West then
3
m
3\ m
3
m
North then
2
m
2\ m
2
m
East and finally
1
m
1\ m
1
m
North.
a) What is the final displacement of the object?
b) What is to total distance traveled?
If you walked 3.00km West, and then 5.00km South to get to the store, what angle are you traveling at relative to the South direction? What is the magnitude of your displacement?
A bird flew 100m to the east then 200m to the northwest. Use the algebraic addition of vectors to find the bird’s net displacement.
Subtract vectors algebraically
Add the following vectors:
A
⃗
=
2.0
i
^
−
3.0
j
^
\vec{A}\ =\ 2.0\hat{i} - 3.0\hat{j}
A
=
2.0
i
^
−
3.0
j
^
B
⃗
\vec{B}
B
which has a magnitude of 4.0 at 23
o
left of the -y axis.
Sum of vectors
What would be the resultant vector from the addition of the below three vectors?
In the diagram shown, the unknown vector is
What is the resultant of a pair of forces, 100 N upward and 75 N downward?
Enter answer in N. positive is upward and negative is downwards.
What is the magnitude of the resultant of two vectors of magnitude 4 and 3 that are at right angles to each other?
Practice: Resultant of 2 Vectors
Two forces
F
1
F_1
F
1
and
F
2
F_2
F
2
are shown in the figure. Find the magnitude and direction of the resultant using law of vector addition.
Practice: Negative of a Vector
R
⃗
\vec{R}
R
is shown in the figure. Draw
−
R
⃗
-\vec{R}
−
R
If vector A is
A
=
(
2
,
−
2
,
2
)
A\ =\ \left(2,-2,2\right)
A
=
(
2
,
−
2
,
2
)
and vector B is
B
=
(
3
,
4
,
5
)
B\ =\ \left(3,4,5\right)
B
=
(
3
,
4
,
5
)
find the length of
A
+
B
A+B
A
+
B
.
Given an object that is moved
1
m
1\ m
1
m
West then
3
m
3\ m
3
m
North then
2
m
2\ m
2
m
East and finally
1
m
1\ m
1
m
North.
a) What is the final displacement of the object?
b) What is to total distance traveled?
If vector
A
=
(
1
,
2
,
3
)
A\ =\ \left(1,2,3\right)
A
=
(
1
,
2
,
3
)
and vector
B
=
(
−
7
,
5
,
4
)
B\ =\ \left(-7,5,4\right)
B
=
(
−
7
,
5
,
4
)
find
A
+
B
A+B
A
+
B
.
Practice: Vector Addition and Subtraction
The coordinates of four corners of a Parallelogram
A
B
C
D
ABCD
A
B
C
D
in a Clock-Wise order are
A
=
(
1
,
3
)
A=(1,3)
A
=
(
1
,
3
)
,
B
=
(
−
1
,
5
)
B=(-1,5)
B
=
(
−
1
,
5
)
,
C
C
C
and
D
=
(
4
,
7
)
D=(4,7)
D
=
(
4
,
7
)
. Find missing coordinates of
C
C
C
.
