11. ☐ Adding & Subtracting Parallel VectorsA has a magnitude of 28 and is parallel to B which has a magnitude of 80. Let Ŕ = A + B, let Ŝ = Ā - Ē, and let T = B-Ā. Determine the magnitudes of R, Š, & T.R = 108S = -52T = 52Adding & Subtracting Anti-Parallel VectorsĈ has a magnitude of 83 and is anti-parallel to □ which has a magnitude of 29. Let Ū = Ĉ + Ď, let V = Ċ - D, and let W = D-Ĉ. Determine the magnitudes of Ū, V, & W.U = 112V = 54W = -54×Adding & Subtracting Perpendicular VectorsĒ has a magnitude of 34 and is perpendicular to F which has a magnitude of 24. Let X = Ē + F, let Ÿ = Ē - F, and let Z = F - Ē. Determine the magnitudes of X, Y, & Z.X = 58Y = 10Z = -10

Step 1:Given:- |A| = 24- |B| = 80Let θ be the angle between vectors A and B.1. Magnitude of A + B:…

Answered: ☐ Adding & Subtracting Parallel Vectors…

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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Similar questions

If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
A vector is given by R=2i+j+3k. Find (a) the magnitudes of the x, y, and z components; (b) the magnitude of R; and (c) the angles between R and the x, y, and z axes.
An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225 with the positive x axis and has magnitude 30.0 miles, and if the resultant displacement is directed at an angle of 75.0 with the positive x axis and magnitude 22.0 miles, what are the magnitude and direction of the second displacement?
Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a) Vector E is directed 27.0 counterclockwise from the positive x axis, (b) Vector F is directed 27.0 counterclockwise from the positive y axis, (c) Vector G is directed 27.0 clockwise from the negative y axis.
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 vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction of the vector.
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
The displacement vectors 42.0 cm at 15.0 and 23.0 cm at 65.0 both start from the origin and form two sides of a parallelogram. Both angles are measured counterclockwise from the x axis. (a) Find the area of the parallelogram. (b) Find the length of its longer diagonal.
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.
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.
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.

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