| Suppose D =Á – B where vector Á has components A, = 5,A, = 2 and vector B has components Bz= -3, B,=-5.a. What are the x- and y-components of vector D?b. Draw a coordinate system and on it show vectors Á, B,and Ď.c. What are the magnitude and direction of vector Ď?

Answered: Image /qna-images/answer/5101b8cf-e514-408a-a539-6f371516c509.jpg

Answered: | Suppose D =Á – B where vector Á has…

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 51PQ: The resultant vector R=2AB2C has zero magnitude. Vector A has an x component of 4.60 m and a y...

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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.
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Vector F is proportional to vector A such that F=mA and m is a scalar. a. If A=2.4+3.0j and F=4.0+5.0j, what is m? b. Why is it impossible to have A=2.4+3.0j and F=4.0+0.50j, given the relationship between the two vectors?
A Three vectors are shown in Figure P3.44, but they are not drawn to scale. The sum of the three vectors is R=F1+F2+F3. If Ry = 0 and F2 = 0.5F3, find Rx in terms of F1.
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Figure P3.60 illustrates the difference in proportions between the male (m) and female (f) anatomies. The displacements d1m. and d1f from the bottom of the feet to the navel have magnitudes of 104 cm and 84.0 cm, respectively. The displacements d2m and d2f have magnitudes of 50.0 cm and 43.0 cm, respectively. (a) Find the vector sum of the displacements dd1 and dd2 in each case. (b) The male figure is 180 cm tall, the female 168 cm. Normalize the displacements of each figure to a common height of 200 cm and re-form the vector sums as in part (a). Then find the vector difference between the two sums. Figure P3.60
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You fly 32.0 km in a straight line in still air in the direction 35.0 south of west. (a) Find the distances you would have to fly due south and then due west to arrive at the same point. (b) Find the distances you would have to fly first in a direction 45.0south of west and then in a direction 45.0 west of north. Note these are the components of the displacement along a different set of axes-namely, the one rotated by 45 with respect to the axes in (a).
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.)

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| Suppose D =Á – B where vector Á has components A, = 5, A, = 2 and vector B has components Bz= -3, B,=-5. a. What are the x- and y-components of vector D? b. Draw a coordinate system and on it show vectors Á, B, and Ď. c. What are the magnitude and direction of vector Ď?