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Vectors are an important part of the language of science, mathematics, and engineering. They are used to discuss multivariable calculus, electrical circuits with oscillating currents, stress and strain in structures and materials, and flows of atmospheres and fluids, and they have many other applications. Resolving a vector into components is a precursor to computing things with or about a vector quantity. Because position, velocity, acceleration, force, momentum, and angular momentum are all vector quantities, resolving vectors into components is the most important skill required in a mechanics course. Part D The space around a coordinate system is conventionally divided into four numbered quadrants depending on the signs of the x and y coordinates (Figure 3). Consider the following conditions: A. x > 0, y >0 B. > 0, y<0 C. x < 0, y >0 D. x < 0, y<0 Which of these lettered conditions are true in which the numbered quadrants shown in (Figure 3)? Write the answer in the following way: If A were true in the third quadrant, B in the second, C in the first, and D in the fourth, enter "3, 2, 1, 4" as your response. Figure 3 2 1 x 4 < 3 of 3 Submit Request Answer ་ Part E Now find the components N, and Ny of Ñ in the tilted coordinate system of Part B. Express your answer in terms of the length of the vector N and the angle e, with the components separated by a comma. Nz, Ny= Ο ΑΣΦ ?

Vectors are an important part of the language of science, mathematics, and engineering. They are used to discuss multivariable calculus, electrical circuits with oscillating currents, stress and strain in structures and materials, and flows of atmospheres and fluids, and they have many other applications. Resolving a vector into components is a precursor to computing things with or about a vector quantity. Because position, velocity, acceleration, force, momentum, and angular momentum are all vector quantities, resolving vectors into components is the most important skill required in a mechanics course. Part D The space around a coordinate system is conventionally divided into four numbered quadrants depending on the signs of the x and y coordinates (Figure 3). Consider the following conditions: A. x > 0, y >0 B. > 0, y<0 C. x < 0, y >0 D. x < 0, y<0 Which of these lettered conditions are true in which the numbered quadrants shown in (Figure 3)? Write the answer in the following way: If A were true in the third quadrant, B in the second, C in the first, and D in the fourth, enter "3, 2, 1, 4" as your response. Figure 3 2 1 x 4 < 3 of 3 Submit Request Answer ་ Part E Now find the components N, and Ny of Ñ in the tilted coordinate system of Part B. Express your answer in terms of the length of the vector N and the angle e, with the components separated by a comma. Nz, Ny= Ο ΑΣΦ ?

College Physics
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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Vectors are an important part of the language of science, mathematics, and engineering. They are used to discuss multivariable calculus, electrical circuits with oscillating currents, stress and strain in structures and materials, and flows of atmospheres and fluids, and they have many other applications. Resolving a vector into components is a precursor to computing things with or about a vector quantity. Because position, velocity, acceleration, force, momentum, and angular momentum are all vector quantities, resolving vectors into components is the most important skill required in a mechanics course. Part D The space around a coordinate system is conventionally divided into four numbered quadrants depending on the signs of the x and y coordinates (Figure 3). Consider the following conditions: A. x > 0, y >0 B. > 0, y<0 C. x < 0, y >0 D. x < 0, y<0 Which of these lettered conditions are true in which the numbered quadrants shown in (Figure 3)? Write the answer in the following way: If A were true in the third quadrant, B in the second, C in the first, and D in the fourth, enter "3, 2, 1, 4" as your response. Figure 3 2 1 x 4 < 3 of 3 Submit Request Answer ་ Part E Now find the components N, and Ny of Ñ in the tilted coordinate system of Part B. Express your answer in terms of the length of the vector N and the angle e, with the components separated by a comma. Nz, Ny= Ο ΑΣΦ ?
Transcribed Image Text:Vectors are an important part of the language of science, mathematics, and engineering. They are used to discuss multivariable calculus, electrical circuits with oscillating currents, stress and strain in structures and materials, and flows of atmospheres and fluids, and they have many other applications. Resolving a vector into components is a precursor to computing things with or about a vector quantity. Because position, velocity, acceleration, force, momentum, and angular momentum are all vector quantities, resolving vectors into components is the most important skill required in a mechanics course. Part D The space around a coordinate system is conventionally divided into four numbered quadrants depending on the signs of the x and y coordinates (Figure 3). Consider the following conditions: A. x > 0, y >0 B. > 0, y<0 C. x < 0, y >0 D. x < 0, y<0 Which of these lettered conditions are true in which the numbered quadrants shown in (Figure 3)? Write the answer in the following way: If A were true in the third quadrant, B in the second, C in the first, and D in the fourth, enter "3, 2, 1, 4" as your response. Figure 3 2 1 x 4 < 3 of 3 Submit Request Answer ་ Part E Now find the components N, and Ny of Ñ in the tilted coordinate system of Part B. Express your answer in terms of the length of the vector N and the angle e, with the components separated by a comma. Nz, Ny= Ο ΑΣΦ ?
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