Vector A has magnitude 29 and direction 284 degrees. Vector B has magnitude 22 and direction 165 degrees. a. What is the i component of the sum A and B? b. What is the j component of the sum of A and B?

Vector A has magnitude 29 and direction 284 degrees. Vector B has magnitude 22 and direction 165 degrees. a. What is the i component of the sum A and B? b. What is the j component of the sum of A and B?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 68PQ

See similar textbooks

Related questions

Q: In the figure below, a vector a with a magnitude of 21.0 m is directed at an angle 0 = 56.0°…

Q: A particle undergoes three consecutive displacements given by vectors D1 = (3.5î − 2.5ĵ − 3.0 ) mm,…

Q: Rev is taking a walk following these magnitudes and directions: 11km North and 11km East. what is…

Q: the x and y components of a vector in a horizontal plane are 4.00 m and 3.00 m, repectively. (a)…

A: The x-component of the vector is 4.00 m and the y-component of the vector is 3.00 m.

Q: I’m confused on p 3.19.

Q: 3. Consider the following three displacement vectors: Vector A has a magnitude of 3.90 km and a…

A: Vector A = 3.90 km @29o north of west Vector B = 6.30 km @25o north of west Vector C = 4.10 km @53o…

Q: 1. One morning, Connie walks from her house to go to a store that is 500 ft, S 40° W from her house.…

Q: 20.0° +y 60.0⁰ B (a) Number i The three displacement vectors in the drawing have magnitudes of A =…

Q: A vector has the components Ax = 22m and Ay = 13m.(a)What is the magnitude of this vector? (b) What…

A: A=A2x+A2y=22 m2+13 m2=26 m

Q: rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been…

A: Given- x = -0.31t2+7.2t+28 y = 0.22t2- 9.1t+ 30A) At t = 15 sr(t)=xi+yj=-0.31t2+7.2t+28i+ 0.22t2-…

Q: You are walking out for an early morning walk. You walk 5.0 m, south and 12.0 m, east. Then, you…

A: East , West as X axis , North and South as Y axis Unit vectors along them are i,j

Q: 12. Drawing a shows a displacement vector A (450.0 m along the -y axis). In this x, y coordinate…

A: The rotation from +x’ axis, the angle should be (-125o) where clockwise rotation takes as a negative…

Q: A room has dimensions 3.00 m (height) 3.70 m 4.30 m. A fly starting at one corner flies around,…

A: Since there are multiple sub-parts posted, we will answer the first three sub-parts for you. If you…

Q: 2i+j+3k represents a vector. a)Determine the magnitudes of the x, y, and z components, b) R's…

Q: A radar station sends a signal to a ship which is located a distance 13.8 kilometers from the…

A: The position vector from radar station to ship is,

Q: Devon is designing the course for an upcoming race. The course he has designed runs 105 meters west,…

A: According to question we need to find resultant displacement.

Q: B 130.0° 53.0° The magnitude of the vectors are A=6N and B=7N What is the rectangular component of…

Q: D(10.0 m) 30 53° 25° C(120 m) A (8.00 m) Figure A1-1. Displacements on a Cartesian plane Find the…

A: Solution: Four vectors are given, and it is required to find the resultant vector in two different…

Q: #26

A: Vector A is in first quadrant and B is in fourth quadrant. Write the resultant in component form

Q: B 20.0° 60.0° The three displacement vectors in the drawing have magnitudes of A = 5.06 m, B = 5.70…

A: according to question we need to find magnitude and direction of resultant vector.

Q: Which of the following equations would give the y-component of vector W with magnitude of 981N,…

A: Y component of a vector = A sinθ

Q: Vector A has a magnitude 28 and points to the east. Vector B has a magnitude 19 and points north. a.…

A: Magnitude of vector A = 28 points to east Magnitude of vector B = 19 and points

Q: P & Ñ are shown below. P = 46, & N = 50. Let R = P-N. Determine the components of each vector as…

Q: Problem 14: Assume you have the following two vectors: A = 1li+17j+15.5k B = 3.3i+ 8.5j - 1.5k What…

Q: Can someone help me please Given the following three vectors: A: 300 m at 50° and B: 40 m at 150°…

Q: LA truck is travelling and covering a distance of 200 m. The truck's displacement A is illustrated…

A: Given data: Distance covered = 200 m Displacement vector A towards right Required: The scalar…

Q: Assume you have the following two vectors: A = 11.5i + 17.5j + 19.5k B = 4.9i + 9.5j - 1.1k…

Q: The vector difference between Vectors A and B is 223.606 N, 26.57° N of W or 223 606 N, 63.43° NW.…

A: north of west

Q: 90.0° |b| = 7.2 56.3° 33.7 Add the two vectors a and b, GRAPHICALLY (by manually drawing) and show…

A: Given

Q: D (10.0 m) 30 53° 25° C(12.0 m) A (8.00 m) Figure A1-1. Displacements on a Cartesian plane Find the…

Q: h the figure, a vector á with a magnitude of 16.3 m is directed at angle 0 = 55° counterclockwise…

Q: F3 65° 35° F, The magnitude of the vector is F2=1.5N .What is the rectangular component of vector F2…

Q: Q/ Two vectors form an angle of 110°. One of the vectors is 20 units long and makes an angle of 40°…

Q: Consider the following vectors: A = 1.2i + 4.9j + 3.7k B = -8.5i + 7.5j + 8.3k Part (a)…

Q: top of a tall building or from an airplane at height h is given by the function D(h) = V2rh + h? %3D…

A: The maximum distance one can see from a height h above the ground is given by,D(h)=2rh+h2

Q: Q) Consider the two vectors A and B. The magnitude of JA | = 2.88 and the %3D vector A makes an…

Q: 1. Given: A = 100m, 30° N of E; B 80m, 30° W of N and C 40m, 55° S of W %3D Plot the given vectors…

Q: vector E an opposite in direction. Express it in unit-vector notation. Use the component method of…

Q: A. A, Vector Quantity 100 100 100 60 30 15 A, 100 Vector Quantity 173.2 1. At what angle will the x…

A: The components of a vector in the X- and Y- axis are given by Ax = A cosθAy = A sinθ, where A is the…

Q: Draw the following vectors. A= 50 units, 500, B= 100 units, 950, C= 120 units, 1700, D= 150 units,…

A: In this problem, all the angles are measured from the positive x-axis and in counter clockwise…

Q: ssume you have the following two vectors:A:15i+16j+13k B=4.4i+6.5j-1.6k What is the x-component of…

Q: 1. A vector Ã has a magnitude of 54.0 m and points in a direction 26.0° above the positive x axis. A…

Q: - Part (b) What is direction of A x C? Part (c) What is magnitude of A x F? Part (d) What is…

Q: Consider the three vectors A= 4.2i+3.9j+6.5k, B=-9.1i+1.3j+6.4K, and C=8.8i-2.9j+3.2k. (A) what is…

Q: 2. (a) What are the x- and y-components of vector D in Fig. (a)? The magnitude of the vector is D =…

A: D= 3.0 m α= 450 X component of D= Dcosα = 3×12= 2.12 m Y component of…

Question

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

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.
An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225 with the positive x axis and has magnitude 30.0 miles, and if the resultant displacement is directed at an angle of 75.0 with the positive x axis and magnitude 22.0 miles, what are the magnitude and direction of the second displacement?
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.
A Three vectors all have the same magnitude. The symbol for the magnitude of each of these vectors is M. The first vector A points in the positive x direction. The second vector B points in the negative y direction. The third vector C points in the positive z direction. These three vectors added together are equal to a fourth vector D. What is the magnitude of the fourth vector?
The resultant vector R=2AB2C has zero magnitude. Vector A has an x component of 4.60 m and a y component of 12.1 m. and vector B has an x component of 3.00 m and a y component of 4.00 m. What are the x and y components of vector C? (All of these are two-dimensional vectors.)
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.
A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use the analytical method to determine the following: (a) Find his net displacement vector. (b) How far is the restaurant from the post office? (c) If he returns directly from the restaurant to the post office, what is his displacement vector on the return trip? (d) What Is his compass heading on the return trip? Assume the +x-axis is to the east.
Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44
At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?
A vector is given by R=2i+j+3k. Find (a) the magnitudes of the x, y, and z components; (b) the magnitude of R; and (c) the angles between R and the x, y, and z axes.
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.
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?