A displacement vector points in a direction of 0 = 21° left of the positive y- axis. I'he magnitude of this vector is D = 105 m. Refer to the figure. Part (a) Enter an expression for the x-component vector, Dr, in terms of D, 6, and the unit vectors i and j. Dx = D sin(0) cos(a) cos(o) cos(e) cos(90+0) ( 9 HOME sin(a) sin(o) sin(e) 4 5 i * 1 2 j k D END - h P VOI BACKSРАСЕ CLEAR m DEL Submit Hint Feedback I give up! -It helps to draw the components of the given vector and then apply trigonometry. Your answer needs to be a vector. Part (b) Enter an expression for the y-component vector, D,, in terms of D, 6, and the unit vectors i and j. D, = D cos(0) X Part (c) Enter an expression for the vector D in terms of D, 6, and the unit vectors i and j. Part (d) What is the sum of the magnitudes of vectors D, and D,, in meters?

A displacement vector points in a direction of 0 = 21° left of the positive y- axis. I'he magnitude of this vector is D = 105 m. Refer to the figure. Part (a) Enter an expression for the x-component vector, Dr, in terms of D, 6, and the unit vectors i and j. Dx = D sin(0) cos(a) cos(o) cos(e) cos(90+0) ( 9 HOME sin(a) sin(o) sin(e) 4 5 i * 1 2 j k D END - h P VOI BACKSРАСЕ CLEAR m DEL Submit Hint Feedback I give up! -It helps to draw the components of the given vector and then apply trigonometry. Your answer needs to be a vector. Part (b) Enter an expression for the y-component vector, D,, in terms of D, 6, and the unit vectors i and j. D, = D cos(0) X Part (c) Enter an expression for the vector D in terms of D, 6, and the unit vectors i and j. Part (d) What is the sum of the magnitudes of vectors D, and D,, in meters?

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 63P: Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a)...

See similar textbooks

Similar questions

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
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.
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 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.
Vector A has a magnitude of 4.50 m and makes an angle of 64.0 with the positive x axis. Vector B, with a magnitude equal to that of vector A, points along the negative y axis (Fig. P3.16). Graphically find the magnitude and direction of the resultant vector a. A+B, b. AB, c. BA, and d. 2AB.
Given two displacement vectors A=(3.00i-4.00j-4.00K)m and B=(2.00i+3.00j-7.00K)m , find the displacements and their magnitudes for (a) C=A+B and (b) D=2AB .
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?
Vector lies in the xy plane. Both of its components will be negative if it points from the origin into which quadrant? (a) the first quadrant (b) the second quadrant (c) the third quadrant (d) the fourth quadrant (e) the second or fourth quadrants
Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the following vector products: AC , (b) AF , (c) DC , (d) A(F+2C) , (e) iB , (f) jB , (g)
Use the component method to add the vectors A and B shown in Figure P1.34. Express the resultant A+B in unit-vector notation. 34. The displacement vectors A and B shown in Figure P1.34 have magnitudes of 3.00 m. The direction of vector A is = 30.0. Find graphically (a) A+B, (b) AB, (c) BA, and (d) A2B. (Report all angles counterclockwise from the positive x axis.)
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
What is the y component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e) none of those answers