Calculate and Explain 2. Find by the component method the resultant of the following three vectors: A= 50 units at 90° with the x-B = 40 units at 150° with the x-axis, and C = 30 units at 250° with the x-axis. (axis,%3D

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Answered: 2. Find by the component method the…

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 25P: Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have...

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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.)
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.
The magnitude of vector A is 35.0 units and points in the direction 325 counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector.
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?
Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.
Let the four compass directions north, east, south, and west be represented by unit vectors ne . . and respectively. Vertically up and down are represented as u and d. Let us also identify unit vectors that are halfway between these directions such as for northeast. Rank the magnitudes of the following cross products from largest to smallest. If any are equal in magnitude or are equal to zero, show that in your ranking, (a) (b) (c) (d) (e)
Explain why it is not possible to add a scalar to a vector.
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector R has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
Suppose you first walk 12.0 m in a direction 20° west of north and then 20.0 m in a direction 40.0° south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 3.56, then this problem finds their sum R=A+B. )
The magnitude of vector A is 35.0 units and points in the direction 325 counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector.
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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2. Find by the component method the resultant of the following three vectors: A = 50 units at 90° with the x- axis, B = 40 units at 150° with the x-axis, and C = 30 units at 250° with the x-axis. %3D