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)...

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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.
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?
7.4
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
Assume you have the following two vectors:A:15i+16j+13k B=4.4i+6.5j-1.6k What is the x-component of the vector V = A × B? What is the y-component of the vector V = A × B? What is the z-component of the vector V = A × B? What is the magnitude of the vector V = A × B?
Consider two vectors, A = 16.5 m at 48.0°, and B = (-12.7 + 2.30j) m. Determine the x and y components of A: Ax Ay m. Determine the x and y components of B: B. Let H- B- 3 A. Determine H and express it in unit vector form. 1+ コ)-H Determine the magnitude and direction of H H= mat 3:
Consider the 2D vectors A and B. A has a magnitude of 3.5 and a polar angle of 55 degrees, while B has a magnitude of 4.5 and a polar angle of 245 degrees. a) Express A + B in cartesian form. b) Find the magnitude of A + B. c) Find the direction of A + B. d) Express A −B in cartesian form. e) Find the magnitude of A −B. f) Find the direction of A −B. Test 1 Review ProblemsPhysics 30Ad) Express A −B in cartesian form. e) Find the magnitude of A −B.f) Find the direction of A −B.
How do we calculate ?
Note: Please provide a simple and step-by-step solution.
Vector A has a magnitude of 3.60 m and a direction of 60.0° measured counterclockwise from the +y axis in the xy plane. Vector B has a magnitude of 2.40 m and a direction of 30.0° measured clockwise from the -x axis in the xy plane. →>> What is vector Cin component form? 7=2 = 2.00A-3.00B.

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