The two vectors đ and b inthe figure have equal magnitudes of 12.5 m and the angles are 01 = 26° and e2 = 102°. Find (a) the xcomponent and (b) the y component of their vector sum 7 ,(c) the magnitude of 7 ,and (d) the angle 7 makes with the positivedirection of the x axis.(a) NumberiUnits(b) NumberiUnits(c) NumberiUnits(d) NumberUnits>>>to

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Answered: The two vectors d and b inthe figure…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Hardy, an avid JikTeker decided to look at his wristwatch to tell his friend dolphins the current time. However, his dolphins only understand the time if it is stated in terms of the resultant vector when the hour hand and minute hand vectors are added together. Assume that both vectors point from the center, outward. The length of the hour hand is 6. 20 [cm]; while the length of the minute hand is 9. 50 [cm]. Assume the hour hand only moves every hour. Follow this format in answering each sub-item: a. Draw the position of the hour and minute hands on an analog clock for this time configuration. Label your illustration with relevant angles and magnitudes b. Decompose the components of each vector along the x and y direction. c Calculate for the resultant vector and express in the form required in each item. What should Hardy tell the dolphins if the current time is: 5:15 PM, in bearing form? В. 1:40 PM, in component form? A. B.
A displacement vector 7 in the xy plane is 44.0 m long and directed at angle 0 = 38.0° in the figure. Determine (a) the x component and (b) the y component of the vector. (a) Number Units (b) Number Units
vector (a) Is the (î + ĵ + k) a unit vector? Jus- tify your answer. (b) Can a unit vector have any components with magnitude greater than Figure E1.43 30.0° B (2.4 m) y 0 A (3.60 m) 70.0° X unity? Can it have any negative components? In each case justify your answer. (c) If A = a(3.0î + 4.0ĵ), where a is a constant, determine the value of a that makes A a unit vector. C
vector a has a magnitude of 29 units and points in the positive y direction.When vector B is added to A,the resultant vector A+B points in the negative y direction with a magnitude of 14 units .Find the magnitude and direction of B.
Vector A has magnitude 27 and direction 168°. Vector B has magnitude 39 and direction 270°. Find the resultant vector R, which is the sum of these two vectors.
A vector A has a magnitude of 7 units and points in the -y-direction, while a vector B has double the magnitude of A and points in the +x-direction. What are the magnitude and direction of the following vectors? Give the directions of each as an angle measured counterclockwise from the +x-direction. (a) A + B magnitude direction (b) A - B magnitude direction (c) B-A magnitude direction unit(s) ° (counterclockwise from the +x-axis) unit(s) ° (counterclockwise from the +x-axis) unit(s) ° (counterclockwise from the +x-axis)
The x component of vector A is-28.5 m and they component is +50.0 m. (a) What is the magnitude of A? (b) What is the angle between the direction of A and the positive direction of x? (a) Number i (b) Number i Units Units <
A force vector has a magnitude of 588 newtons and points at an angle of 45o below the positive x axis. What are (a) the x scalar component and (b) the y scalar component of the vector? (a) Fx = Number Type your answer for part (a) here Units Choose your answer for part (a) here (b) Fy = Number Type your answer for part (b) here Units Choose your answer for part (b) here
In the figure, a vector a with a magnitude of 23.1 m is directed at angle = 44° counterclockwise from the +x axis. What are the components (a) ax and (b) ay of the vector? A second coordinate system is inclined by angle = 18° with respect to the first. What are the components (c) a'x and (d) a'y in this primed coordinate system? (a) Number (b) Number i (c) Number i (d) Number i Ꮎ . ay Units Units V Units Units 0 8 az a x X
Given vectors A=<4, 3> and B=<5, -12>. Determine the unit vector in the direction of A+B. Then, compare the unit vector in the direction of A+B and the sum of the unit vectors in the direction of A and of B.
The two vectors a and b in the figure have equal magnitudes of 13.3 m and the angles are 0₁ = 25º and 0₂ = 104°. Find (a) the x component and (b) the y component of their vector sum, (c) the magnitude of 7, and (d) the angle makes with the positive direction of the x axis. (a) Number (b) Number (c) Number (d) Number IN 8.8 18.5 20.5 65.7 Units Units Units 0₂ 3 3 m Units °(degrees) x
What are the (a) x and (b) y components of the vector that must be added to the following three vectors, so that the sum of the four vectors is zero? Due east is the +x direction, and due north is the +y direction. A = 105 units, 69.0° south of west B = 237 units, 31.0° south of east = 153 units, 16.0° north of east (a) Number i (b) Number i W 0₁ A Units Units E C ec 0B B +X

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