High School
SAT
ACT
University
MCAT
LSAT
DAT

Practice: Vector Addition and Subtraction

Related Topics

Wize University Linear Algebra Textbook > Vectors

Vector Properties

4 Activities

Wize University Physics Textbook (Master) > Introduction to Vectors

Vector Addition and Subtraction

5 Activities

The coordinates of four corners of a Parallelogram ABCDABCD in a Clock-Wise order are A=(1,3)A=(1,3), B=(−1,5)B=(-1,5), CC and D=(4,7)D=(4,7). Find missing coordinates of CC.

More Vector Properties Questions:
Practice: Vector Addition and Subtraction
The coordinates of four corners of a Parallelogram ABCDABCD in a Clock-Wise order are A=(1,3)A=(1,3), B=(−1,5)B=(-1,5), CC and D=(4,7)D=(4,7). Find missing coordinates of CC.
$\tkct{cut from 19.4F}$ Mid $\tkco{ S}$ | 133 - FML 3 - 18.1W e.g. 45
Given the points P=(3, 4, −1)\bcb{P = (3,\, 4,\, -1)} and Q=(−1, 2, 2)\bcb{Q = (-1,\, 2,\, 2)}, and the vector u⃗=PQ⃗\bcb{\ol{u} = \vec{PQ}}, find a vector parallel but in the opposite direction to u⃗\bcb{\vec{u}}.
Length / magnitude / norm. 19.1W
1. Find the vector d⃗\vd connecting the points P1(−2,−1)P_1(-2,-1) and P2(3,11)P_2(3,11).
2. Find the length of the vector d⃗\vd found, above. What does this length represent?
A parallelogram in R3R^3 has vertices A(−1,1,2)A\left(-1,1,2\right), B(1,−2,8)B\left(1,-2,8\right) and C=(3,−1,2)C=\left(3,-1,2\right).
Vector Arithmetic
Suppose X=(x1,x2,x3)X=(x_1, x_2, x_3) and Y=(y1,y2,y3)Y=(y_1, y_2, y_3) If −XY⃗=<43,−35,103>\vec{-XY}=\left<\frac{4}{3},\frac{-3}{5}, \frac{10}{3}\right>, what is YX⃗\vec{YX}?
Practice Question 9: Vector Operations
Practice Question: Vector Operations
Let u⃗=(−9, 6)\vec{u}=\left(-9,\ 6\right) and v⃗=(1,−1)\vec{v}=\left(1,-1\right). If we start at the origin and travel along a directed line segment that is opposite to u⃗\vec{u} but has 1/3 of its length, then we travel along the translation of v⃗\vec{v} to your current position. Finally, we travel along the translation of the unit vector that points in the same direction as v⃗\vec{v}.
a.) Where do we end up?
If α∈R\alpha \in \mathbb{R} and v∈Vv \in V , where VV is a real vector space and αv=0\alpha v = 0 , then prove that either α=0\alpha = 0 or v=0v = 0 .
Practice: Magnitude of a Vector
Practice: Magnitude of a Vector
An aircraft's location is 200 miles from base, at a direction of 30° W of S, at an altitude of 35,000 ft. Find the distance between the aircraft and the base.
Note: 1 mile = 5280 feet
Practice Question: Vector Properties
Practice Question: Vector Properties
Given that u⃗\vec{u} and v⃗\vec{v} are vectors in R3\mathbb{R}^3, which of the following statements is/are always true?
Practice: Vector Operations
A parallelogram has sides ABAB, BCBC, CDCD and DADA
The following coordinates are known: A(2,0,1)A(2,0,1), C(6,0,0)C(6,0,0), and M(3,1,0)M(3,1,0), where MM is the midpoint between AA and BB
Find the vector BD⃗\vec{BD}
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 F1F_1 and F2F_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 F1F_1 and F2F_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 ABCDABCD in a Clock-Wise order are A=(1,3)A=(1,3), B=(−1,5)B=(-1,5), CC and D=(4,7)D=(4,7). Find missing coordinates of CC.
Given an object that is moved 1 m1\ mWest then 3 m3\ mNorth then 2 m2\ mEast and finally 1 m1\ mNorth.
a) What is the final displacement of the object?
b) What is to total distance traveled?
Equilibrium: Static
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.
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:
A⃗ = 2.0i^−3.0j^\vec{A}\ =\ 2.0\hat{i} - 3.0\hat{j}
B⃗\vec{B} which has a magnitude of 4.0 at 23o 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 F1F_1 and F2F_2 are shown in the figure. Find the magnitude and direction of the resultant using law of vector addition.
Practice: Negative of a Vector
R⃗\vec{R} is shown in the figure. Draw −R⃗-\vec{R}
If vector A is A = (2,−2,2)A\ =\ \left(2,-2,2\right) and vector B is B = (3,4,5)B\ =\ \left(3,4,5\right) find the length of A+BA+B.
Given an object that is moved 1 m1\ m West then 3 m3\ m North then 2 m2\ m East and finally 1 m1\ 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) and vector B = (−7,5,4)B\ =\ \left(-7,5,4\right) find A+BA+B.