B. Plot That VectorDirections: Using the head to tail diagram method, plot thefollowing vector to find the vector sum or the resultant. Usethe scale 1cm = 5m.A = 15m, 35° E of NB = 45m, 45° W of N%D%3DD = 20m, 20° S of WE = 30m, E

We will need the following formula to get the resultant vector from a succession of vectors.…

Answered: B. Plot That Vector Directions: Using…

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 20P: Given the displacement vectors A=(3i4j+4k)m and B=(2i+3j7k)m, find the magnitudes of the following...

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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.
A rectangular parallelepiped has dimensions a, b, and c as shown in Figure P3.45. (a) Obtain a vector expression for the face diagonal vector R1. (b) What is the magnitude of this vector? (c) Notice that R1,ck, and R2 make a right triangle. Obtain a vector expression for the body diagonal vector R2.
Three displacement vectors of a croquet ball are shown in Figure P3.22, where A=20.0 units, B=40.0 units, and C=30.0 units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P3.22
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
The displacement vectors A and B shown in Figure P3.9 both 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 add two vectors A and B. What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction them produces the resultant with the smallest magnitude? What is the minimum magnitude?
The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42
A snow-covered ski slope makes an angle of 35.0 with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.50 m at 16.0 from the vertical in the uphill direction as shown in Figure P3.16. Find the components of its maximum displacement (a) parallel to the surface and (b) perpendicular to the surface. Figure P3.16
Given the vectors A=2.00i+6.00j and B=3.00i2.00j, (a) draw the vector sum C=A+B and the vector difference D=AB. (b) Calculate C and D, in terms of unit vectors, (c) Calculate C and D in terms of polar coordinates, with angles measured with respect to the positive x axis.
Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the distance she would have to ride due south and due west to reach the same location?
Figure OQ3.3 shows two vectors D 1, and D2. Which of the possibilities (a) through (d) is the vector D2 - 2D1, or (e) is it none of them?
Figure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements d1m and d1f from the soles of the feet to the navel have magnitudes of 104 cm and 64.0 cm. respectively. The displacements d2m and d2f from the navel to outstretched fingertips have magnitudes of 100 cm and 86.0 cm, respectively. Find the vector sum of these displacements d3=d1+d2 for both people. Figure P3.28

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B. Plot That Vector Directions: Using the head to tail diagram method, plot the following vector to find the vector sum or the resultant. Use the scale 1cm = 5m. A = 15m, 35° E of N B = 45m, 45° W of N C = 60m,S D = 20m, 20° S of W %3D %3D %3D E = 30m, E %3D