Vector Á has a magnitude of 8.00 units and makes an angle of | 45.0° with the positive x-axis. Vector B also has a magnitude of 8.00 units and is directed along the negative x-axis. Using graphical methods, find (a) the vector sum Á + B and (b) the vector difference A – B.

Vector Á has a magnitude of 8.00 units and makes an angle of | 45.0° with the positive x-axis. Vector B also has a magnitude of 8.00 units and is directed along the negative x-axis. Using graphical methods, find (a) the vector sum Á + B and (b) the vector difference A – B.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 29P: A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast,...

See similar textbooks

Related questions

Q: If A = a(3.0i + 4.0j), where a is a constant, determine the value of a that makes A a unit vector.

Q: What are the (a) x and (b) y components of the vector that must be added to the following three…

Q: Vector A has magnitude of 8 m and vector B has magnitude of 7.8 m. If the angle between the two…

A: Given data, Magnitude of vector A = 8 m Magnitude of vector B = 7.8 m Angle between vector A and B =…

Q: A vector has an x component of -26.0 units and a y component of 40.2 units. Find the magnitude and…

A: Solution:

Q: Displacement vector i points due east and has a magnitude of 3.45 km. Displacement vector 3 points…

A: Answer is uploaded in 2nd step.

Q: If a vector has components Ax > 0, and Ay < 0, then the angle that this vector makes with the…

Q: The components of a vector B>satisfy Bx 7 0 and By 6 0.Is the direction angle of B>between 0°…

Q: A vector A is added to B=61-8j. The resultant vector is in positive x direction and has a magnitude…

A: Given: The vector B is B=6i-8j. The magnitude of vector A and resultant is same that is A.…

Q: Vector V⃗ 1V→1 is 6.4 units long and points along the negative x axis. Vector V⃗ 2V→2 is 9.0 units…

A: Given: The vector V1 is 6.4 units long along -the x-axis. The vector V2is 9 units long at 60o with a…

Q: Vector A has magnitude of 8 m and vector B has magnitude of 4.1 m. If the angle between the two…

A: Angle between two vector is 60 degree

Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.0°…

A: We will first break the vectors into the component in the perpendicular axes. We split them in the X…

Q: Vector A has a magnitude of 8 units and makes an angle of 45⁰ with the positive x-axis. Vector B…

Q: The x- and y-components of a vector are: vx = 2.0 m/s, vy = -6.0 m/s. Find the magnitude of the…

A: Given: horizontal x component of velocity vx=2.0 m/s. vertical y component of velocity vy=-6.0 m/s.

Q: Find the angle between the following pair of vector: A= 3.00i + 5.00j and B= 10.00i + 6.00j

A: Given, A=3.00i+5.00jB=10.00i+6.00j

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 16.0 m and…

Q: 6. Consider two vectors pointing at different directions. The first vector has a length of 5.2 cm…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.00…

Q: Let 0 be the angle that a vector to make with the x - axis and measured counter clockwise from that…

Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 5.0 m and points 30°…

A: Given data The magnitude of the vector A is 8 m. The magnitude of vector B is 5 m and points 30°…

Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 6.0 m and points…

A: (given) Vectors are A→, B→ and C→. A→=8 i^B→=6 j^C→=-5 j^ Vector isV→ =A→+B→ +C→ =8 i^+6 j^-5 i^…

Q: Vector R has a magnitude of 36 units directed 120° from the +x-axis of a Cartesian Plane. What are…

Q: The x and y components of a displacement vector are –3.00 m and +4.00 m, respectively. What angle…

Q: Vector A has a magnitude of 8.00 units and makes an angle of 45.0 ∘ with the positive x-axis. Vector…

Q: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

A: Given value--- F1= 25 newtons 50 degrees north of east. F2 = 16 newtons 75 degrees south of east.…

Q: What would be the the x component of the resultant vector if I add two vectors one with a magnitude…

Q: When vector is added to vector B, which has a magnitude of 5.0, the vector representing their sum is…

Q: Vector A has components Ax = -15.0 and A, -4.01. What is the magnitude of this vector? Find the…

Q: Vector C has a magnitude of 24.6 m and points in the -y-direction. Vectors A and B both have…

Q: Vector a→a→ has a magnitude of 25 units and makes +20° with the +x-axis. Vector b→b→ has a…

A: We resolve the given vector in component form, a→=25 unitsθ=20oax→=a→cosθ=25cos20o=23.49…

Q: What is the approximate resultant vector of the following component vector? V1 25 cm N and V2 = 15…

A: Given v1=25cm v2=15 cm angle θ=15 with +ve x axis

Q: What's the resultant displacement vector C=A+B as a magnitude and direction? Given 2 vectors:…

A: Given: The vectors, A = 4.00i + 7.00j B = 5.00i - 3.00j

Q: Three displacement vectors of a croquet ball are shown in the figure, where IAI - 16.0 units, B| -…

A: a) The required resultant vector is, b) The required magnitude of the resultant vector is,

Q: A vector A has components Ax = −3.00 m and Ay = 6.00 m. Find the magnitude (in m) and the…

A: Given,

Q: Consider the three displacement vectors shown in the figure: Vector→AA→has a magnitude of 8.30 km…

A: The vector A is in the second quadrant since it is 24o to the left of positive y axis. Write the…

Q: A vector A has a magnitude of 15 (in some unspecified units) and makes an angle of 25° with the x…

A: Given, the magnitude of vector A = 15, the angle made with the x-axis, 25° the magnitude of vector B…

Q: What are the components of the following Vector? D = 30.0 km @ 70.0 degrees below +x-axis

A: Given: The vector has magnitude D = 30 km. Angle with +x axis = 70 degree clockwise direction.

Q: Given vectors a=(10,-9) and b=(0,-5) Find the magnitude of the resultant vector: T = 3 a + 26

Q: Let be the angle that the vector A makes with the +-axis, measured counterclockwise from that axis.…

Q: A vector has magnitude 12.7. Rounding off, which pair of components could not produce this vector? O…

Q: If vector B is added to vector A, under what condition does the resultant vector have magnitude A +…

A: The sum of two or more vectors is called the resultant. The resultant of two vectors can be found…

Q: makes an angle of 3

A: Negative vector is equal in magnitude but opposite in direction

Q: A vector A has components Ax = −5.50 m and Ay = 4.00 m. Find the magnitude (in m) and the direction…

A: The magnitude of the given vector is,Substitute the values,

Q: For the vectors and shown, find the magnitude and direction of (a) the vector sum + (b) the vector…

Q: Vector C has a magnitude of 23.4 m and points in the -y- direction. Vectors A and B both have…

Q: Vector A is 2.00 units in length and points along the positive x axis. Vector B is 7.00 units in…

A: Given The vector B in the negative y axis is By=-7 unit. The vector A in the negative x axis is…

Q: Given Five vectors whose lengths and dirction – senses are as follows: Aa is 1.5 inch long and 90…

Question

Vector Á has a magnitude of 8.00 units and makes an angle of
| 45.0° with the positive x-axis. Vector B also has a magnitude
of 8.00 units and is directed along the negative x-axis. Using
graphical methods, find (a) the vector sum Á + B and (b) the
vector difference A – B.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.
A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?
A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.
Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.
X is an unknown vector satisfying the following relations involving the known vectors A and B and the scalar ϕ, A × X = B, A · X = ϕ. Express X in terms of A, B, ϕ, and the magnitude of A.
Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .
Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.
A vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction of the vector.
Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a) Vector E is directed 27.0 counterclockwise from the positive x axis, (b) Vector F is directed 27.0 counterclockwise from the positive y axis, (c) Vector G is directed 27.0 clockwise from the negative y axis.
Given the displacement vector , find the displacement vector so that .