Express F as a vector in terms of the unit vectors i, j, and k. Determine the projection, both as a scalar and as a vector, of F onto line OA,which lies in the x-y plane.Answers:35°F = 4.6 KN29°30°AF =(-1.319i+2.285j+ 3.768k) KNFOA =-0.046FOA = (i-0.040KNi+Hi¡-0.022j+ i-0.046k) kN

Answered: Express F as a vector in terms of the…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The magnitude of the vector is F2 =1.5N .What is the rectangular component of vector F2 ? * (1 Point) The magnitude of the vector is F2 = 1.5N. F3 65° 35° F O (1.5 N) i + ( 1.5N ) j O (1.5N cos 65°) i + (1.5N cos 35°) O (1.5N cos 55°) i + (1.5N cos 35°) O (1.5N cos 35°) i + (1.5N cos 55°)
Given the displacement vectors A = (4.00 î - 8.00 j + 5.00 k) m and B = (1.00 î + 9.00 j – 6.00 k) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. (a) C = Ã +B iC = C = ( m k) m (b) D = 2Ã -B DI = D = | m k) m
For the given vectors V₁ and V2, determine V₁ + V2, V₁ + V2, V₁-V2, V1X V2, V₂ X V₁, and V₁ V₂. Consider the vectors to be nondimensional. V₂ = 11 Answers: V₁ + V₂ = V₁ + V₂ = V₁-V₂= V₁x V₂ = V₂X V₁ = V₁ V₂ = 69° i i i i i i 4 3 V₁ = 13 i+ i i+ i+ i i i+ i j+ i j+ i i k k k k
Two vectors, 7 and 7, are equal: 7 = 7. Which of the following statements are true? (Select all that apply.) The z component of must be equal to the z. component of 7. O The directions of 7 and さ may be different. may be different. must be equal to the y component of 7. The magnitudes of and The y component of The x component of O The unit vector must be equal to the unit vector c. must be equal to the x component of c.
T:39)
Vectors A and B lie in the xy-plane. Vector À has a magnitude of 12.1 and is at an angle of 105.5° counterclockwise from the +x-axis. Vector B has a magnitude of 21.9 and is 250.3* from the +x-axis. Resolve A and B into components, and express using ijk unit vectors, A = Axi + Ayj + A-k B = B₂i + B₂j + B₂k where A., Ay, A₂ and B₁, B₁, and B₂ are the calculated values of the x-, y-, and z-components of vectors A and B, respectively. Ā = B = Find the magnitude and unit vector for the cross product between A and B. |ĀXB| = Identify the unit vector for AX B. j k
Vector A lies in quadrant 2 of the xy-plane. Vector B lies in quadrant 1 of the xy-plane. In what direction does the vector A x B point? K, -k, j or -j And why?
Vector CC has a magnitude of 22.222.2 m and points in the −?‑−y‑direction. Vectors AA and BB both have positive ?‑y‑components, and make angles of α=43.9°α=43.9° and β=27.2°β=27.2° with the positive and negative ?-x-axis, respectively. If the vector sum A+B+C=0A+B+C=0, what are the magnitudes of AA and B?
Shown below are the components of the three vectors: X = 1.42 i - 3.85 j Y = 2.35 i - 3.30 j Z= Zx i + Zy j If Vector X ⋅ Z = 5.40, and Vector Y ⋅ Z = 12.10, find the magnitude of vector Z.
7.4
For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V₂, V₁ - V₂, V₁ V₂, V₁ V₂. Consider the vectors to be nondimensional. . Assume V₁ = 10, V₂ = 15, a = 2, b = 3,0 = 30°. V₂ V₁ k) k) k) a Answers: 0 V₁ + V₂ = i 25 V₁ + V₂ = ( i V₁-V₂= (i V₁x V₂ = (i V1 V₂ = i -x i+ i i+ i i+ i + j+ j i
For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V2. V₁-V₂, V₁x V2, V₁ V₂. Consider the vectors to be nondimensional. Assume V₁ = 15, V₂ = 21, a = 3, b = 5,0 = 22° Answers: V₁ + V₂ = i V₁ + V₂ = (i j+ k) V₁-V₂= (i j+ k) V₁xV₂ = (i j+ k) V₁ V₂ = i+ i+ i+ i i i i

SEE MORE QUESTIONS

Recommended textbooks for you

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Lecture- Tutorials for Introductory Astronomy

Physics

ISBN:

9780321820464

Author:

Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden

Publisher:

Addison-Wesley

College Physics: A Strategic Approach (4th Editio…

Physics

ISBN:

9780134609034

Author:

Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher:

PEARSON

SEE MORE TEXTBOOKS