Is the following statement true or false? Explain.If the wind is blowing from the southwest, then the bearing for the wind vector is 225°.Choose the correct answer below.O A. The statement is true because a wind blowing from the southwest would cause the air to travel northeast, which would be a vector represented by a 225° angle.B. The statement is false because a wind blowing from the southwest would cause the air to travel northeast, which would be a vector represented by a 45° angle.C. The statement is false because southwest would be represented on the unit circle by a vector pointing into the middle of quadrant 1, which is a 45° angle.D. The statement is true because southwest would be represented on the unit circle by a vector pointing into the middle of quadrant 3, which is a 225° angle.

The motion of the air will be in the opposite direction of the motion of the wind. In this case the…

Answered: Is the following statement true or…

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 65PQ

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A Three vectors all have the same magnitude. The symbol for the magnitude of each of these vectors is M. The first vector A points in the positive x direction. The second vector B points in the negative y direction. The third vector C points in the positive z direction. These three vectors added together are equal to a fourth vector D. What is the magnitude of the fourth vector?
Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .
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.
The following figure shows a triangle formed by the three vectors A , B , and C . If vector C is drawn between the midpoints of vectors A and B , show that C=C/2
A chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the origin of a Cartesian coordinate system at the lower left-hand corner of the screen and the horizontal direction to the right as the +x -direction. If its coordinates are (2.000 m, 1.000 m), (a) how far is it from the corner of the screen? (b) What is its location in polar coordinates?
Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.
The x component of vector is 25.0 m and the y component is 40.0 m. (a) What is the magnitude of ? (b) What is the angle between the direction of and the positive direction of x?
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A P vector function is given as P = ar10rsin∅ + a∅2r2cos∅ A) Calculate ∮ P.dl ' in the direction indicated around the KLMNK road in the figure. B) Find the curl of the vector P . C) Calculate the ∫(∇ x P).dS on the shaded area and compare the result with the result you found in item a. NOTE : take r1 and r2 as 2
To visit your favorite ice cream shop, you must travel 420 mm west on Main Street and then 970 mm south on Division Street. a) Find the total distance you traveled. Express your answer to two significant figures and include appropriate units. b) Choose the correct displacement vector written in unit vector notation, taking the x^x^ direction to be east and the y^y^ direction to be north. r⃗ =r→= Choose the correct displacement vector written in unit vector notation, taking the direction to be east and the direction to be north.
A) Given the vectors A⃗ A→ and B⃗ B→ shown in the figure ((Figure 1)), determine the magnitude of B⃗ −A⃗ B→−A→. B) Determine the direction of B⃗ −A⃗ C) Determine A⃗ −B⃗ A→−B→ without using your answer in parts AA and BB. Then compare your results and see if they are opposite. Determine the magnitude of A⃗ −B⃗ A→−B→. D) Determine the direction of A⃗ −B⃗ A→−B→.
A radar station sends a signal to a ship which is located a distance 13.8 kilometers from the station at bearing 136° clockwise from the north. At the same moment, a helicopter is at a horizontal range of 19.6 kilometers, at bearing 146° clockwise from the north, with an elevation of 2.56 kilometers. Let east be the î direction, north be the ĵ direction, and up be the direction. (a) What is the displacement vector (in km) from the helicopter to the ship? b) What is the distance (in km) between the helicopter and the ship?

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