### Question 2Which of the following is an accurate statement?- **A.** It is possible to add a scalar quantity to a vector.- **B.** Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero.- **C.** Rotating a vector about an axis passing through the tip of the vector does not change the vector.- **D.** The magnitude of a vector is independent of the coordinate system used.- **E.** The magnitude of a vector can be zero even though one of its components is not zero.

Answered: QUESTION 2 Which of the following is an…

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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7. Given two vectors A= -3.00i + 13.00j + 7.00k and B= 1.00i-10.00j- 6.00k, (a) find the magnitude of each vector and (b) find the magnitude of the vector difference A - B. Is this the same as the magnitude of B- A? Explain. 8. Vector A is in the direction 37.0° clockwise from the x axis. The x-component of A is Ax = -16.0 m. (a) What is the y-component of A? (b) What is the magnitude of A? 9. Vector A has y-component Ay = +8.70 m. A makes an angle of 36.0° counterclockwise from the +y-axis. (a) What is the x- component of A? (b) What is the magnitude of A? 10. A disoriented physics professor drives 4.25 km north, then 2.3 km west, and then 1.50 km south. Find the magnitude and direction of the resultant displacement, using the method of components.
A scalar c = -0.75 is multiplied to the vector A. Which of the following happens? O The vector shrinks and has its direction reversed. O The vector shrinks but maintains its direction. O The vector elongates and has its direction reversed. O The vector elongates but maintains its direction. None of the given choices.
Q1.
If a vector's components are all negative, then the magnitude of the vector is negative. Select one: a. True b. False
Can a vector have a component equal to zero and still have nonzero magnitude? Explain. Can a vector have zero magnitude if one of its components is nonzero? Explain.
Three vectors A, B and C add together to yield zero, i.e. A + B + C = 0. The vectors A and C point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A. A and B have equal magnitudes and point in opposite directions. B. B and C have equal magnitudes and point in the same direction. C. A and B point in the same direction, but A has twice the magnitude of B. OD. B and C point in the same direction, but C has twice the magnitude of B. E. A and B
82. Find the scalar components of three-dimensional vectors Gand H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes. 60° 45° G = 10.0 145 30° H = 15.0 10
10.A truck is travelling and covering a distance of 200 m. The truck's displacement A is illustrated at the right. What are the scalar components of the truck's displacement vector? A. A +200 m%; ty A, = 0 m Ay 0 m Ay = -200 m A, = +200 m %3D B. A = -200 m; C. A = +200 m; %3D %3D %3D %3D D. A, = -200 m; %3D %3D I
A displacement vector points in a direction of θ = 25° left of the positive y-axis. The magnitude of this vector is D = 135 m. a) Enter an expression for the x-component vector, Dx, in terms of D, θ, and the unit vectors i and j. b) Enter an expression for the y-component vector, Dy, in terms of D, θ, and the unit vectors i and j. c)Enter an expression for the vector D in terms of D, θ, and the unit vectors i and j. d)What is the sum of the magnitudes of vectors Dx and Dy, in meters?
A vector A = 2i +3j Which of the following is a unit vector in the direction of A? Select one: O a. î+j O b. (2i + 33)//13 O c.i O d. k O e. (2i + 3j)/13
I don't know how to do this graphically because they both lie on the axises.
F3 65° 35° F, The magnitude of the vector is F2=1.5N .What is the rectangular component of vector F2 ? * The magnitude of the vector is F2 = 1.5N. What is the rec tan gular component of vector F2? O (1.5N cos 65°) i + (1.5N cos 35°) j O (1.5N cos 35°) i + (1.5N cos 55°) j O (1.5 N) i + ( 1.5N ) j O (1.5N cos 55°) i + (1.5N cos 35°) j

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